A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a height of 3
inches. The cone has a radius of 3 inches. What is the height of the cone?
Show your work.
Plz help

Answers

Answer 1

Answer: 4 in

Step-by-step explanation:

The volume of the cylinder is

[tex]V=(\pi)(2^{2})(3)=12\pi[/tex]

If we let the height of the cone h, the volume of the cone is

[tex]V=\frac{1}{3}(\pi)(3^{2})(h)=3\pi h[/tex]

Setting these volumes equal,

[tex]12\pi=3\pi h\\\\12=3h\\\\h=\boxed{4 \text{ in}}[/tex]

A Cylinder And A Cone Have The Same Volume. The Cylinder Has A Radius Of 2 Inches And A Height Of 3inches.
A Cylinder And A Cone Have The Same Volume. The Cylinder Has A Radius Of 2 Inches And A Height Of 3inches.

Related Questions

Jewan is setting up a monthly budget. His gross monthly income is $3125, but 20% is deducted for taxes. How much money is deducted in taxes, and how much is his monthly net pay?

Answers

Answer:

$625

$2500

Step-by-step explanation:

tax = percent of tax x income

0.2 x 3125 = 625

amount remaining = income - tax

3125 - 625

The tables show the number of hours students
studied and the number of questions answered
correctly on a quiz. Which table shows a
proportional relationship?

Answers

You didn’t include pictures.????

Your Statistics group wanted to determine what percent of Dulles High School senior like pineapple on their pizza. You randomly sampled 60 seniors and 36 responded that pineapple is one of their favorite topping. You wanted to construct a 90% confidence interval to report your findings. (Use your Confidence Interval Notes and the assigned videos to answer the questions) A margin of error (ME) tells you how many percentage points your results will differ from the true proportion of the population. For example, a 95% confidence interval with a 4 percent margin of error means that your sample proportion will be within 4 percentage points of the true proportion value 95% of the time. Calculate the ME of your study.

Answers

Answer:

The answer is "0.1040"

Step-by-step explanation:

Margin of error[tex]=Z_{\frac{\alpha}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\[/tex]

                          [tex]=Z_{\frac{0.10}{2}} \sqrt{\frac{\frac{36}{60}(1-\frac{36}{60})}{60}}\\\\=1.645 \times 0.0632\\\\=0.1040\\\\[/tex]

Which situation is most likely to have a constant rate of change?

Answers

Answer:

It's C ez claps

Step-by-step explanation:

If Amy has 5 apples and she eats 3 how many does she have left?

Answers

Answer:

2 apples.

Step-by-step explanation:

Answer:

She has 2 more apples left!

Step-by-step explanation:

Simple: this is the equation: 5 - 3 = 2!

A bag contain 3 white balls, 4 blue balls and 2 red balls. Two balls are to be taken at random from the bag. The first ball is not replaced before the secod one is taken. Find the probability that

a) the first ball taken will be blue

b) both balls taken will be blue

c) both balls taken will be the same colour

Answers

Answer:

a)the first ball taken will be blue

Geometry question on finding x.

Answers

Answer:

[tex] x =63^o[/tex]

Step-by-step explanation:

Given :-

[tex]\text{ $\overline{MN} $ and $\overline{ML}$ are tangents .}[/tex]

We know that the tangents are perpendicular to the radius at the point of contact . And here OLMN is a quadrilateral. Also we know that , the angle sum property a triangle is 360° .

According to question :-

[tex]\implies x + 117^o + 90^o +90^o = 360^o \\\\\implies x + 297^o = 360^o \\\\\implies x = 360^o - 297^o \\\\\implies x = 63^o [/tex]

Hence the value of x is 63° .

Rectangle A and B have the same Area. Rectangle A has a length of 7m and a width of 4m. Rectangle B has a width of 10m. What is the perimeter of Rectangle B? *

Answers

Answer:

P = 25.6 feet

Step-by-step explanation:

Given that,

Rectangle A and B have the same Area.

The area of a rectangle is given by :

A = lb

[tex]l_Ab_A=l_Bb_B[/tex]

We have,

[tex]l_A=7\ m, b_A=4\ m, b_B=10\ m[/tex]

So,

[tex]l_B=\dfrac{l_Ab_A}{l_B}\\\\l_B=\dfrac{7\times 4}{10}\\\\l_B=2.8\ m[/tex]

The perimeter of rectangle B,

[tex]P=2(l_B+b_B)\\\\=2(2.8+10)\\\\=25.6\ ft[/tex]

So, the perimeter of rectangle B is equal to 25.6 feet.

find the square root of the following:
a. 1434/25

Answers

Answer:

7.57363849

Step-by-step explanation: square root of 57.36 = 7.57363849

Answer:

1434/25 is 57.36 the square root of 57.36 is 7.57

8. Which choice is chord?
LG
CH
LM
CJ

Answers

Answer:

Step-by-step explanation:

LG: is a chord. Are there others?

CH: is a radius. C is the center of the circle.

LM: You have to draw in LM. LM would be a secant. It cuts the circle in exactly two places.

CJ: Anything coming from C and ending at the circumference is going to be a radius.

find the volume of the cone above in terms of pi

Answers

192 pi
good luck :))))

Find the geometric mean of 16 and 36. Write your answer in simplest form. The geometric mean is​

Answers

Answer:

Step-by-step explanation:

the geo. mean is the nth root of the product of n numbers

Here there are two numbers; geo. mean is the square root of their product

g = √(16 * 36)

g = 4 * 6

g = 24

Geometric mean is the mean which is the average of a set of a product.

The geometric mean of the given numbers is 24.

What is geometric mean?

Geometric mean is the mean which is the average of a set of a product.

It can be given as,

[tex](\prod_{i=1}^{n}x_i)^{1/n}=\sqrt[n]{x_1\times x_2\times x_3...........x_n}[/tex]

Here [tex]x_i[/tex] is the values of the average and [tex]n[/tex] is the number of values.

Given information-

The numbers given in the problem is 16 and 36.

The Geometric mean for the number 16 and 36 has to find out.

Use the above formula to find the geometric mean for the number 16 and 36. Thus,

[tex]\prod=\sqrt{16\times36}[/tex]

[tex]\prod=\sqrt{576}\\\prod=24[/tex]

Hence the geometric mean of the given numbers is 24.

Learn more about the geometric mean here;

https://brainly.com/question/47038

Write 1012100 with a power of 10 with a single exponent using the appropriate exponent rule. Explain or show your reasoning.

Answers

Answer:

Step-by-step explanation:

Move the period 5 spaces to the left, and then write 1012100 as 1.0121*10^5.

Melissa has 120 vanilla cake pops to sell. Each vanilla cake pops is covered with one topping. 1/2 ​ of the cake pops are covered with chocolate sprinkles. 1/3​ of the cake pops are covered with strawberry sprinkles. * the rest are covered with green sprinkles. How many cake pops are covered with green sprinkles?

Answers

Answer:

The Answer is 20 cake pops are covered with green sprinkles.

Step-by-step explanation:

So if you have 1/2 choclate, 1/3 strawberry, and the rest are green, you first need to convert the Chocolate and the Strawberry into the same fraction. As shown:

Chocolate: 1/2=3/6

Strawberry:1/3=2/6

The rest are Green sprinkles.

So, your equation would be:

Chocolate sprinkles + Strawberry Sprinkles + Green Sprinkles = Total

And their are 5/6 of Chocolate and Strawberry Sprinkles...

That would mean 100 Chocolate and Strawberry Sprinkles!

Because 1/6 of 120 is 20 and multiply that by five and you have 100...

Now that we have that, and we know the rest are green...

we just do 120-100=20

So their you go!

Sorry its long but hope it helps! <3

HELP ME DEAR GOD-


Let H be the event that a coin flip lands with heads showing, and let T be the event that a flip lands with tails showing. (Note that P(H) = P(T ) = 0.5.) What is the probability that you will get heads at least once if you flip the coin ten times? Let A be the probability that heads appears at least once and B be the probability that heads does not appear.


If you flip the coin 10 times the probability you will get a heads at least once is ???

Answers

Answer:

The probability you will get a head at least once is 50%.

Step-by-step explanation:

Since the question is asking about the probability you will get, we can assume we’re answering based on theoretical probability. This type of probability is based on logic.

A coin always has two sides, one with head and the other with tails. So we can easily represent this as half and half. 1/2 as a fraction. 0.5 as a decimal. 50% as a percent. This means that P(H) will be equal to any one of these as they are all the same. The same can be said for the probability that a head does not appear, in other words, a tail appears. The reason being that the probability is split evenly between the two. This will again mean that P(T) will equal to any one of those.

So, A = 50% and B = 50%. The probability you will get a head at least once is 50%.

adding and subtracting matrices ​

Answers

Answer:

I NEED POINTS

Step-by-step explanation:

I'm just gonna answer this.

what is the interquartile range of the data shown in the box plot???
HELP

Answers

Answer: 14

Step-by-step explanation:

Take the values at either end of the box (80 and 66) and subtract.

Alaina surveys 75 of her classmates and finds that 48% of them like to eat tacos. She also finds that 60% of her 45 relatives like tacos. How many more
of her classmates like tacos as compared to her relatives?

Answers

Answer:  9 more of her classmates like tacos as compared to her relatives

Step-by-step explanation:

first mutiply 75 x 48 =3600

3600/100=36

Then, 45 x 60=2700

2700/100=27

and substract 36-27=9

thats the answer, hope this helped!

Translate the expression: 3 times the difference between 7 and
g is 90

Answers

Answer:

3(7-g)=90

You multiply the expression by 3. The difference means to subtract two values. The whole equation equals 90.

Plz help on this ASAP I forgot

Answers

Answer:

B) If you use 9 cups of almonds, you need 5 cups of flour

Step-by-step explanation:

If 9 is your x-coordinate, that represents 9 cups of almond.

If 5 is your y-coordinate, that represents 5 cups of flour.

Therefore, B is correct

Can someone prove 1+cosx/1+secx=cosx
with all the steps included?
Please and thank you.

Answers

Answer:

Proved , since LHS= RHS

Step-by-step explanation:

We need to prove the given expression ,

=> 1 + cos x / 1 + sec x = cos x

Simplifying LHS.

=> 1 + cos (x) / 1 + sec (x)

=> 1 + cos (x) / 1 + 1/cos (x)

=> 1 + cos (x) ÷ 1 + cos(x) / cos (x)

=> 1 + cos (x) × cos(x) / { 1 + cos (x) }

1 + cos (x) gets cancelled . So we are finally left out with ,

=> cos (x)

= RHS

Hence proved !

Below. What is m∠1?

m∠1 =

Answers

Answer:

m∠1 = 70°

Step-by-step explanation:

Step 1

Sum of angles on a straight line = 180°

Hence:

180° - 101°

= 79°

Sum of interior angles in a triangle = 180°

Therefore,

m∠1 = 180° - (79 ° + 31°)

m∠1 = 180° - 110°

m∠1 = 70°

The slating palace charges a $6.00 shoe rental fee plus $2.00 an hour to skate.Mathland skating rink charges $4.00 an hour to skate . what equation represents situation on;the skating palace

Answers

Answer:

Equation for the skating palace

= 6 + 2x

Step-by-step explanation:

Let the number of hours = x

For skating palace, the equation is written as:

The slating palace charges a $6.00 shoe rental fee plus $2.00 an hour to skate.

$6 + $2 × x

= 6 + 2x

For Mathland , the equation is written as:

Mathland skating rink charges $4.00 an hour to skate .

$4 × x

= 4x

Therefore, the equation that represents the situation on the skating palace is :

6 + 2x

Which equation best represents the relationship between x and y in the graph?
A. y = 3x + 3
B. y = x + 3
C. y = 3x - 1
D. y = 13 - 1


15 points pls I need ASAP

Answers

Answer:

A. y = 3x + 3

Step-by-step explanation:

y=mx+b

b is the y-intercept (0,y) so lets start with that

We can see that the line touches 3 on the y intercept to get (0,3) meaning b=3

For the slope (m) I like to count rise over run so if we start from (0,3) and go up 3 over 1 we get 3/1 or 3 for m

The whole equation is y=3x+3

the answer is A because the first intercept would be at positive three

What is the value of x in the equation 2x + 3y = 36, when y = 6?
08
9
27
36​

Answers

2x+3(6)=36
2x+18=36
subtract 18 both sides
2x=18
x=9

How do I solve this problem?

Answers

Step-by-step explanation:

Solution:

Given,

t1( first term ) a = -15

t2( second term ) b = -9

CD(Common Difference) = ?

We know,

CD = b - a

= -9 - ( - 15 )

= -9 + 15

= 6

Now,

t1 = -15

t2 = -9

t3 = -3

t4 = 3

t5 = a + ( n - 1 )CD

= -15 + ( 5 - 1 ) 6

= -15 + 24

= 9

t50 = a + (n - 1 ) CD

= -15 + ( 50 - 1 ) CD

= -15 + 49 × 6

= -15 + 284

= 269

So the sum of t50 is 269.

Rachel rolls two number cubes, each with sides that are labeled 1 to 6. What is the probability that one number cube lands on a 1 and the other lands on an even?

Answers

Answer:

4/6. out of 1 2 3 4 5 6 only 3 number are even.but it says lands on 1 and the other lands on even. so 3 +1 = 4. sorry if it doesnt make sense

Find the area of the Regular Octagon below and show all mathematical reasoning.

Answers

9514 1404 393

Answer:

  200√2 square units

Step-by-step explanation:

The area of a regular polygon with n sides and radius r is given by the formula ...

  A = (n/2)r²·sin(360°/n)

Here, we have n=8 and r=10, so the area is ...

  A = (8/2)(10²)sin(360°/8) = 4·100·√2/2

  A = 200√2 . . . square units

Which name best describes the polygon with vertices (0,0), (4,8), (12,8) and (16,0)?


A. Trapezoid
B. Square
C. Triangle
D. Pentagon


Answers

The name of the polygon with the vertices at (0,0), (4,8), (12,8) and (16,0) is a Trapezoid. Option A

How does a Trapezoid look like?

A trapezoid is a four-sided flat polygon.

It has two parallel sides that has different lengths. The other two sides are non-parallel and  also does have lengths.

A trapezoid has four angles, two of which are acute and two of which are obtuse.

A trapezoid's parallel sides are calld bases, while its non-parallel sides are called legs.

The height of a trapezoid is the perpendicular distance between its two bases. Trapezoids appear in a variety of sizes and forms, but its distinguishing feature is the presence of two parallel sides.

|             o                          o

|
|
|
|
|
|

|o___________________________o_

If you connect the "o" which represents the coordinates, you will draw a Trapezod.

Find more exercises that include a Trapezoid:

https://brainly.com/question/8643562

#SPJ1

A straw is placed inside a rectangular box that is 2" x 6" x 8". If the straw fits exactly into the box diagonally from the bottom left corner into the top right back corner how long is the straw?

Answers

Answer: [tex]10.2"[/tex]

Step-by-step explanation:

Given

The dimension of the rectangular box is [tex]2"\times 6"\times8"[/tex]

If the Straw  fits exactly into the box diagonally

So, the length of the longest diagonal of the rectangular box is equal to the length of the straw i.e.

[tex]\Rightarrow l=\sqrt{2^2+6^2+8^2}\\\\\Rightarrow l=\sqrt{4+36+64}\\\\\Rightarrow l=\sqrt{104}\\\Rightarrow l=10.19\approx 10.2"[/tex]

Other Questions
Use the information to answer the following question. Few trade barriers Laws protect private property Courts enforce laws to protect consumers and businesses Prices for goods and service are based on what consumer agree to payWhat type of economy do these statements describe?CA Pure commandCB CommunistC. MixedD. Pure market Write each expression using a single exponent.H^14 over h^5 A. h-9 B. one over h to the ninth C. h19 D. h9 Which will most likely happen if lake water becomes polluted by humans?Multiple choice question.A)Animals in the lake will die.B)There will be more fish in the lake.C)The pollution will not hurt the plants or animals in the water.D)It will change the soil around the lake into pebbles. after World War I the ottoman empire ________.A. became the center of the Muslim world. B. became extremely wealthy as a result of the discovery of oil. C. was most influential in Europe because it bridged it with East Asia along trade routes. D. was divided into several smaller new nations. connexus lession 10:making communities unit review What is a central idea? (1 point)1. a main topic 2. an area of concern3. the most important idea 4. the supporting information he graph below shows the results of a middle school election for president of the student body.How many 6th, 7th, and 8th graders voted for Jose? A. 320 B. 410 C. 420 D. 370 ILL MARK BRAINLIEST :) Describe the law of conservation of mass in your own words *DO IT IN YOUR OWN WORDS PLEASE* The Williams family purchased 15 cheeseburgers for 75$ how did one cheeseburger cost? Air at the equator is warm and has a ______density, which creates ________ in comparison to the air at the poles. (NEED DONE SOON) The measure of two supplementary angles are 4x - 24 and 4(2x - 3). What is x some _______ environmental changes can cause tge genes of an entire population to change. Simplify (-32) divided by (-4) Definition of respiration y = a( x-h)^2 + kh is the _______________________ shift.(+ shifts __________, shifts __________)k is the _______________________ shift. (+ shifts __________, shifts __________)If a is negative, the function is ____________________ across the ____- ________a1represents a vertical ________________________.a0 1represents a vertical ______________________.can somebody help me fill this out plz Hal has two cans containing biscuit dough. The cans are cylindrical and their dimensions (in inches) are as follows. Can A: h = 8 and r= 1.1 Can B: h = 4 and r = 2.2Which of the following statements about the volumes of the cans is true?OA.The volume of can A is half the volume of can B..The volumes of the two cans are equal.OC. The volume of can B is four times the volume of can A.OD.The volume of can B is half the volume of can A. Max earns $9.30 per hour does part time job how much money will max earn if he works 1,5,8,H hours also how many hours will he work to earn $180 The dream in lines 11-20 is a miniature allegory that has several analogies to the world in which the boys live. the "angel who had a bright key /and open'd the coffins and set them all free" (line 13-14) represents __________. A farmer would like to estimate the mean amount ofmilk produced per day by his 300 cows. He selects arandom sample of 15 cows and records the amount ofmilk produced in gallons) by those cows. The dotplotshows the data. Given that all of the recorded values are integers, what is the value of the standard error of the mean? 0.7650.7922.2672.346 What are symptoms associated with female reproductive diseases and disorders?Check all that apply.bloatingirregular bleedingimpotenceabdominal crampssterilityerectile dysfunction plz help ill give you brainilist