What is the volume of the cylinder below?
-----
-
2112
O O
A. 408 units3 B. 2448 units3
O
C. 204772 units 3
O
D. 20471 units

What Is The Volume Of The Cylinder Below?------2112O OA. 408 Units3 B. 2448 Units3OC. 204772 Units 3OD.

Answers

Answer 1

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

We need to find volume of the given Cylinder, with information :

radius (r) = 12 units

height (h) = 17 units

[tex]\qquad \sf  \dashrightarrow \:Volume_{(Cylinder)} = \pi r²h[/tex]

[tex]\qquad \sf  \dashrightarrow \:Volume_{(Cylinder)} = \pi \sdot(12) {}^{2} \sdot17[/tex]

[tex]\qquad \sf  \dashrightarrow \:Volume_{(Cylinder)} = \pi \sdot144{}^{} \sdot17[/tex]

[tex]\qquad \sf  \dashrightarrow \:Volume_{(Cylinder)} = 2448 \pi \: \: unit {}^{3} [/tex]

So, correct choice is B

Answer 2

The volume of the given cylinder is 2448π cubic units

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

We have to find the volume of the given cylinder

Radius is 12 units

Height is 17 units

Volume of cylinder= πr²h

Plug in the values of radius and height

Volume = π×12²×17

=π×144×17

=2448π cubic units

Hence, the volume of the given cylinder is 2448π cubic units

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Related Questions

A family plan for a cell phone has a monthly base price of $75 plus $10.99 for each additional family member added beyond the primary account holder. The linear function to model the monthly cost C(x) (in $) of a family for x additional family members added is C(x)=

Answers

The linear equation that models the cost for having x additional family members added is:

c(x) = $75 + $10.99*x

How to get the linear equation?

Here we know that the plan has a fixed price of $75 plus $10.99 for each family member added beyond the primary account holder.

Then if there are x family members added, the cost will be:

$75 + $10.99*x

Then the linear equation that models the cost for having x additional family members added is:

c(x) = $75 + $10.99*x

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At her sisters birthday party Cheyenne thought it would be funny to drink lemonade from a party hat if the radius is 4.8 cm and the height of a hat is 12 cm how many cubic centimeters of lemonade can Cheyenne pour into the hat

Answers

Answer:                             (In ''pi'' terms)

92.16 pi cm^3.

Step-by-step explanation:

Shape of a party hat : conical

Volume of a cone = (1/3)(pi)(r^2)(h)

(pi(1/3)(23.04)(12))cm^3

Therefore, approximately

92.16 pi cm^3.

A rectangular swimming pool is 15 meters long, 14 1/2 meters wide, and 3 1/2 meters deep. What is its volume? in cubic meters

Answers

Answer:

761.25 m³

Step-by-step explanation:

l = 15 , w = 14.5 , h = 3.5

Volume of a rectangular prism is given by the formula :

V = lwh

V = 15 × 14.5 × 3.5

V = 761.25

Units will be m³

I am attaching an image for visual understanding

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What is the volume, in cubic meters of the prism below?

Answers

Answer:

1848 Cubic Meters

Step-by-step explanation:

The volume should be (7*24*22)/2

This is because this object is bascally half of a rectangular prism, so we need to divide the whole product by 2 at the end.

7*24*22 = 3696

3696/2 = 1848

The ________________ measures the spread of the middle 50% of the data set.
A. median
B. range
C. interquartile range
D. mode

Answers

Answer:

C. interquartile range

Step-by-step explanation:

using this to show im right

"The interquartile range (IQR) is the difference between the upper (Q3) and lower (Q1) quartiles, and describes the middle 50% of values when ordered from lowest to highest."

Hope This Helped

15 ( y - 4 ) - 2 (y - 9 ) + 5 (y + 6) = 0

Answers

Answer:

y = 2/3

Step-by-step explanation:

Assuming you are looking for "y":

15 * ( y - 4 ) - 2 * (y - 9 ) + 5 * (y + 6) = 0

15y - 60 - 2y + 18 + 5y + 30 = 0

15y - 2y + 5y -60 + 18 + 30 = 0

18y = 60 - 18 - 30

18y = 12

y = 12/18

y = 2/3

find the value of x in the following equation 8x- 6=50​

Answers

Answer:

x = 7

Step-by-step explanation:

8*7 - 6 = 50

What is The converse of p→q

Answers

Answer:

q→p

Step-by-step explanation:

The converse of p→q is q→p.

which means If q ,then p.

hey can someone help me on this"in your own words describe when you should use area and when you should use volume in calculating the amount of space an object occupies.

Answers

Answer:

Normally,in calculating the amount of space an object occupies...the volume method is require due to 3 dimensional rule,vice versa an area

jackson bought 3 pounds of candy for $9.60.

What was the price of this candy in cents per pound ?
PLS HELP ITS DU IN 5 MIN !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

320 cents per pound

Step-by-step explanation:

so we do 9.60 divided by 3, which is 3.20. So, 3.20 for each pound. Now we need in cents. 3 dollars is 300 cents, plus another 20, so 320 cents. I hope this helped.

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Harry is 5 years older than his sister, and the product of their
ages is 84.
Let h represent Harry's age, then h- 5 represents his
sister's age, and h (h-5) = 84 models the situation.
The equation can also be written as h² - 5h = 84.
Rewrite the equation so that it is in the form polynomial = 0.
Enter the polynomial, in standard form, in the box.
= 0

Answers

Answer:

See below

Step-by-step explanation:

h^2 - 5h = 84

h^2 - 5h - 84 = 0

a. The velocity, v, of an object is moving in a medium at time t is given by

t = √ 30² +50+2 du. Evaluate t.
+

Answers

The value of "t" in the given expression for the velocity of the object moving in the medium is t = u³ + 2.5u² + 2u.

Velocity of the object moving in the medium

The velocity of the object moving in the medium is given as;

t = ∫(3u² + 5u + 2)du

the value of t is obtained by integrating the function as follows;

t = (3u³)/3 + (5u²)/2 + 2u

t = u³ + 2.5u² + 2u

Thus, the value of "t" in the given expression for the velocity of the object moving in the medium is t = u³ + 2.5u² + 2u.

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What are the domain and range of the function represented by the set of ordered pairs?

{(-6, 12), (-3, -2), (1, 0), (14, -4)}

A. Domain: {-6, -3, 1, 14}
Range: {-4, -2, 0, 12}

B. Domain: -6 ≤ x ≤ 14
Range: -4 ≤ y ≤ 12

C. Domain: {-4, -2, 0, 12}
Range: {-6, -3, 1, 14}

D. Domain: -4 ≤ x ≤ 12
Range: -6 ≤ y ≤ 14

Answers

Answer:

A

Step-by-step explanation:

the domain is the definition of the valid x (input) values.

the range is the definition of the valid y (result) values.

as the function is defined by listing the specific points, the function only consists of individual points and not of connecting lines.

therefore the domain and range cannot be continuous intervals (otherwise the function would suddenly also include points not in the original list).

so, B and D are wrong.

and A is right, because the domain contains the x values, and the range the y values.

Write an expression to describe the
situation.
A car travels 50 miles per hour, h. What expression
represents the total distance you've traveled?

Answers

Answer:

m = 50h, where m is the distance traveled in miles

Please pick one of the options.

Answers

9880 different possibilities are there in Sally's new combination option second 9880 is correct.

What is permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Total unique numbers consists in a Sally locker = 3

From the digits 0 to 39

Total numbers = 40

Apply combination formula:

= C(40, 3)

= 40!/(3!37!)

= 9880

Thus, 9880 different possibilities are there in Sally's new combination option second 9880 is correct.

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Follow the steps below for the following set of data. In your final answer include all of your calculations and all work in steps 1, 2, and 3.

8, 3, 5, 5, 4, 7

Find the median, lower quartile, and upper quartile of the set of data.

Use the median, lower quartile, upper quartile, lowest value, and highest value of the set to construct a box-and-whisker plot on your own sheet of paper.

Use the box-and-whisker plot to find the range and the interquartile range of the set of data.

Answers

The answers to the question are

Median = 5Lower quartile = 4Upper quartile = 7

What is the median?

The median of the data set is gotten by arranging the values in order

3, 4, 5, 5, 7, 8

The median can be gotten by

5 + 5 / 2

= 10/2

Median = 5

What is the lower quartile?

This is the value under which 25 percent of the data are found in the group of data. The lower quartile is 4.

What is the upper quartile?

This is the point from which 75 percent of the data is found when it is in ascending order. The upper quartile is 7.

What is the lowest value

The lowest value in the data set is 3

What is the highest value

The highest value in the data set is 8

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What’s the result of adding these two equations? Please help

Answers

Answer:

u should subract those not add

Ms. Banerjee bought a car for $22,500. The amount she paid for her new car was twice the amount she paid for her previous car, which she bought 8 years ago. Which equation shows p, the price in dollars that she paid for her previous car?
22,500 = 2 p
2 (22,500) = p
22,500 = 2 p minus 8
2 (22,500) = p minus 8

Answers

An equation is formed of two equal expressions. The correct option is A.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Ms. Banerjee bought a car for $22,500. The amount she paid for her new car was twice the amount she paid for her previous car, which she bought 8 years ago. Therefore, the equation shows p, the price in dollars that she paid for her previous car,

Price of new car = 2 (Price of the previous car)

22,500 = 2p

Hence, the correct option is A.

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Answer: a

Step-by-step explanation:

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Answers

8 x 2(to the second power)
2x2=4
8x4=32
8b2 = 32

Please I need help ASAP

Answers

Answer: 50 mg

Step-by-step explanation:

Substituting into the half-life formula, we get that

[tex]N(t)=800\left(\frac{1}{2} \right)^{t/25}[/tex]

So, after 100 years,

[tex]N(100)=800\left(\frac{1}{2} \right)^{100/25}=\boxed{50 \text{ mg}}[/tex]

Write the geometric sequence in function notation.

Answers

Answer:

d

Step-by-step explanation:

mohjjbn bn hjbjn hjbnm

Answers

Yup yup, I understand your question: jejsusuehsbhs lakksjjwhe eiksjsjnesh is the answer you’re looking for. I’m happy to help

Work out the length of
x.
Give your answer rounded to 3 significant figures.

Answers

The triangle is an isosceles right triangle. Then the value of x will be 1.27 cm.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The right-angle triangle is given below.

The given triangle is an isosceles right triangle.

P = B = x

Then we have

1.8² = x² + x²

2x² = 3.24

 x² = 1.62

   x = 1.27 cm

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the function f and g are defined follows. f(x)= x+6/x^2-12x+36 g(x) = x+7/x^2-49 for each function, find the domain. write each answer as an interval or union of intervals​

Answers

Domain of f(x) is {x | x ≠ 6} and Domain of g(x) is {x | x ≠ +7 and x ≠ +7}.

How to find the domain of a function?

The domain of a function is the set of all input values that make the function possible.

Now, for f(x) = (x + 6)/(x² - 12x + 36)

To find the domain, we equate the denominator to zero to find the numbers that can't be a domain. Thus;

x² - 12x + 36 = 0

Solving this using quadratic formula gives; x = 6. Thus, domain of f(x) is;

Domain = {x | x ≠ 6}

Now, for g(x) = (x + 7)/(x² - 49)

To find the domain, we equate the denominator to zero to find the numbers that can't be a domain. Thus;

x² - 49 = 0

Solving this using quadratic formula gives; x = +7 or -7. Thus, domain of g(x) is; Domain = {x | x ≠ +7 and x ≠ +7}

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11 12 13
18
A local charity holds a carnival to raise money. In one
activity, participants make a $3 donation for a chance
to spin a wheel that has 10 spaces with the values, 0,
1, 2, 5, and 10. Whatever space it lands on, the
participant wins that value. Let X represent the value of
a random spin. The distribution is given in the table.
Value of a Spin
0
1
2
5
10
Probability
0.4 0.2
0.2
0.1
0.1
20
Which of the following is the correct interpretation of
P(X<5)?

Answers

The correct interpretation of the probability P(X < 5) is; 0.8

How to Solve Probability?

We are given the probability of the spin values are;

Probability of Spin Value of 0 = 0.4

Probability of Spin Value of 1 = 0.2

Probability of Spin Value of 2 = 0.2

Probability of Spin Value of 5 = 0.1

Probability of Spin Value of 10 = 0.1

P(X < 5) simply means the probability of getting a spin value less than 5. Thus;

P(X < 5) = P(0) + P(1) + P(2)

P(X < 5) = 0.4 + 0.2 + 0.2

P(X < 5) = 0.8

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Write the standard number.

3.6 * 10^-6​

Answers

Answer:

The answer is 0.0000036.

Step-by-step explanation:

Move the decimal place 6 spaces to the left. I hope this helps! :)

tn=2(n-1)
Given the formula for the nth term, state the first 5 terms of each sequence.

Answers

Answer:

0, 2, 4, 6, 8

Step-by-step explanation:

substitute 1 for n in first term, 2 for n in second term, 3 for n in third term, 4 for n in fourth term, 5 for n in fifth term

2 (1) -2 = 0 first term

2 (2)-2 = 2 second

2 (3)-2 = 4 third

2 (4)-2 =6 fourth

2 (5)-2 =8 fifth

You roll a number cube. What is the probability it will land on a number greater than 5?

Answers

1 out of 6 chances

Explanation: there’s 6 sides of a cube if you mark them 1-6 there only one side that you can land on that is greater then 5 which is six also if you need it in percent it’s 16.6%


Jennifer serves the volleyball to Marsha with an upward velocity of 10.5 ft/s. The ball is 5 feet above the ground when she strikes it. How long does Marsha have to
react, before the volleyball hits the ground? Round your answer to two decimal

Answers

Answer:

  0.98 seconds

Step-by-step explanation:

We assume the height of the volleyball is described by the equation for ballistic motion. We want to find the time it takes for the height to become zero.

__

motion equation

The general form of the equation of height for ballistic motion is ...

  [tex]h(t)=-16t^2+v_0t+h_0\qquad\text{$v_0$ and $h_0$ are the initial velocity and height}[/tex]

The coefficient 16 in the equation is an approximation of 1/2g, where g is the acceleration due to gravity in ft/s². This means the units of time and distance are expected to be seconds and feet.

For the problem at hand, the initial velocity and height are 10.5 ft/s and 5 ft. Then the height equation is ...

  h(t) = -16t² +10.5t +5

__

reaction time

Marsha has until the ball hits the ground to react to the serve. To find out how long that is, we need to solve the height equation for t when h=0. This is most easily done using the quadratic formula with ...

a = -16b = 10.5c = 5

The solution is ...

  [tex]t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}= \dfrac{-10.5\pm\sqrt{10.5^2-4(-16)(5)}}{2(-16)}\\\\=\dfrac{10.5\pm\sqrt{430.25}}{32}=\dfrac{21\pm\sqrt{1721}}{64}[/tex]

The positive solution is ...

  t ≈ 0.976327 ≈ 0.98

Marsha has about 0.98 seconds to react before the volleyball hits the ground.

_____

Additional comment

After about 0.33 seconds, Marsha knows she doesn't need to react at all. The serve will not clear the net. Its maximum height is about 6' 8 5/8". A women's volleyball net is 7' 4 1/8" high. Jennifer's serve velocity must be at least 12.3 ft/s for the ball to go over the net. With that upward velocity, Marsha has about 1.06 seconds to react.

please help anyone i really need it ​

Answers

Answer:

Median: 21

Eric took the longest

Ed took 18 minutes longer than Mike

Oscar took the shortest amount of time to solve the puzzle

Step-by-step explanation:

The median is the middle amount of the numbers, line them up from smallest to largest and find the number in the middle...the largest number is the person who took the longest...subtract Ed's score (25) from Mike's score (4) to get the answer...and the smallest number is the person who took the shortest amount of time

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