Mathematics College

The volume of a rectangular prism with a cone-shaped hole in it is approximately 163.22 cm^3
What is the height of the cone?

Answers

Answer 1

Answer:

Height of cone = 5 cm

Step-by-step explanation:

Volume of rectangular prism with a cone hole = 163.22 cm³

Volume of rectangular prism - volume of the cone = 163.22 cm³

L*W*H - ⅓πr²h = 163.22

Where,

L = 5 cm

W = 5 cm

H = 7 cm

r = ½(3) = 1.5 cm

h = ?

Plug in the values into the equation and solve for h (height of the cone)

5*5*7 - ⅓*π*1.5²*h = 163.22

175 - 2.36*h = 163.22

-2.36*h = 163.22 - 175

-2.36*h = -11.78

Divide both sides by -2.36

-2.36*h/-2.36 ° -11.78/-2.36

h = 4.99152542

h = 5 cm (nearest tenth)

Related Questions

Help with this Geometry question please

Answers

Answer:

Angle A = [tex]77^{o}[/tex]

Step-by-step explanation:

cos A = adjacent / hypotenuse

cos A = 18/82

cos A = 0.22

A = [tex]cos ^{-1}[/tex]0.22

A = [tex]77^{o}[/tex]

in a company ther are bell ring after interval of 3,5 and 15 minutes if they ring together at 8:00 AM when they ring together next

Answers

Answer:

8:15 AM

Step-by-step explanation:

This is an interval question so we use LCM to solve such kind of questions

LCM of 3,5,15=15

So after 15 minutes it will ring again

So at 8:15 AM it will ring

If y=13 and x=y/2, solve
(5y) + (6x)

Answers

Answer:

104

Step-by-step explanation:

(5y) + (6x)

Let y = 13

x = y/2 = 13/2

(5*13) + (6*13/2)

65+39

104

Answer:

104

Step-by-step explanation:

See image below:)

A segment has endpoints A and C. What are two names for the segment?

Answers

Answer:

Ac CA is your answer

Step-by-step explanation:

MARK ME AS BRAINLIEST

AC and CA

Step-by-step explanation:

[tex]line \: which \: has \: endpoint \: \\ \\ A \: and \: C \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ it \: shows \: that \: line \: starts \: from \: \\ \\ A \: \: and \: ends \: with \: C \\ \\ so \: \: its \: name \: is \: \: \: \: AC \\ \\ hope \: it \: is \: helpful \: to \: you....[/tex]

A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?

Answers

Answer:

Step-by-step explanation: 6 11 10 48

spent $504

hair dryers cost $8 each

6 floors with the same number of rooms on each floor.

Money spent / hair dry cost = number of hair dryers bought

number of hair dryers = number of floors = hair dryers per floor Plus any remainder

504 / 8 = 63 hair dryers

63 / 6 = 10.5 so 10 rooms per floor = 60 hairs dryers with 3 left over

Answer:

well IMA just copy the other guy and say 3

Step-by-step explanation:

just cause it is.

Solve the equation: 5x + 45 = 35 What is the value of x?

Answers

Answer:

5x+45=35

5x=35-45

5x=-10

x=-10/5

x=-2

Complete the problems in measurements. Show answers in simplest terms.

e. Joseph has a bag of dog food that weighs 5 lb. He wants to feed his dog 7 oz. of dog food per day, How many days will the bag of dog food last?

Answers

1lb = 16 oz
5(16)=80 lbs of dog food
80/7=11.4 days

help me fast plsssdsssssss

Answers

rs. 74 aka maple kalamazoo brown brown and brown brown sugar brown brown

There were 6 dogs at the dog park last Saturday, and 2 of them were German shepherds. Considering this data, how many of the next 12 dogs to arrive at the park next Saturday should you expect to be German shepherds?

Answers

Answer:

Its 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is the volume of the solid figure?

Answers

152 cubic ft

Answer:

Volume of solid figure=Volume of

upper cuboid+volume of lower cuboid

=l*b*h+l*b*h=10*4*3+4*4*2=152 cubic ft

152 cubic ft

Answer:

Volume of solid figure=Volume of

upper cuboid+volume of lower cuboid

=l*b*h+l*b*h=10*4*3+4*4*2=152 cubic ft

3x^2 - 4x + 2 = 0
how many solutions does the equation above have?

Answers

it has two solutions

A random sample of items is selected from a population of size . What is the probability that the sample mean will exceed if the population mean is and the population standard deviation eq

Answers

Answer:

The probability is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which X is the value we want to find the probability of the sample mean exceeding, [tex]\mu[/tex] is the population mean, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Central Limit Theorem for the sample mean:

Sample of size n, and thus:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]Z = \frac{X - \mu}{s} = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

Probability of the sample mean exceeding a value:

What is the end behavior of the polynomial function?

Answers

Answer:

As x→∞, y→-∞

Step-by-step explanation:

Notice how as the x values increase, the y values get closer to negative infinity. As the x values decrease into the negatives, the y values get closer to positive infinity.

Simplify 6-(-14)+(-2)

Answers

Answer:

Step-by-step explanation:

when there is a - in front of an expression in parentheses, change the sign of each term in the expression

6+14+(-2)

then calculate the sum or difference

6+14-2= 18

Based on the cumulative frequency histogram, determine the number of swimmers who swam between 200 and 249 yards. Determine the number of swimmers who swam between 150 and 199 yards. Determine the number of swimmers who took the swim test.

Answers

Answer:

[tex](a)\ 200 \to 249 =3[/tex]

[tex](b)\ 150 \to 199 = 0[/tex]

[tex](c)\ Total = 20[/tex]

Step-by-step explanation:

Given

See attachment for cumulative frequency histogram

Solving (a): Swimmers between 200yd and 249yd

To do this, we simply read the data from the 0 mark

From the histogram, we have:

[tex]0 \to 249 = 15[/tex]

and

[tex]0 \to 199 = 12[/tex]

So:

[tex]200 \to 249 = 0 \to 249 - 0 \to 199[/tex]

This gives:

[tex]200 \to 249 = 15-12[/tex]

[tex]200 \to 249 =3[/tex]

Solving (b): Swimmers between 150yd and 199yd

To do this, we simply read the data from the 0 mark

From the histogram, we have:

[tex]0 \to 149 = 12[/tex]

and

[tex]0 \to 199 = 12[/tex]

So:

[tex]150 \to 199 = 0 \to 199 - 0 \to 149[/tex]

This gives:

[tex]150 \to 199 = 12-12[/tex]

[tex]150 \to 199 = 0[/tex]

Solving (c): Total swimmers

To do this, we simply read the longest bar of the histogram

[tex]Longest = 20[/tex]

Hence:

[tex]Total = 20[/tex]

3. Find the measure of the exterior angle in the diagram below.

Answers

Answer:

the value of x is 29° which is b

Plz help me solve this thanks

Answers

Answer:

[tex]-2\sqrt{3}+8\sqrt{5}[/tex]

Step-by-step explanation:

[tex]-2\sqrt{3} -\sqrt{5} +3\sqrt{9\times5} = -2\sqrt{3} -\sqrt{5} +3\sqrt{9}\times\sqrt{5} = -2\sqrt{3} -\sqrt{5} +9\sqrt{5} = -2\sqrt{3}+8\sqrt{5} \\[/tex]

The vertex of this parabola is at (-5, -2). When the x-value is -4, the
y value is 2. What is the coefficient of the squared expression in the
parabola's equation?
(-5,-2)
© A. 1
O B. -1
C. 5
D. 4

Answers

Answer: D. 4

So you know the vertex is at (-5,-2) and there is a point (-4,2). This means you can write it in vertex form.

Vertex form is y= a(x-h)^2 +k
Therefore:
y= a(x+5)^2 -2

Now since you know that plug in the point to find a.

2 = a(-4+5)^2-2
4 = a

So your equation is:
y= 4(x+5)^2 -2

Now you want to know the coefficient of the squared expression. So let’s multiply it out.

y= 4 [(x+5)(x+5)]-2
y= 4(x^2+10x+25)-2
y= 4x^2+40x+100-2
y= 4x^2 + 40x + 98

Therefore your coefficient is 4.

Which number line shows the solutions to 1/2 x -2 > 0

Answers

Answer:

The top choice

Step-by-step explanation:

1/2 x -2 > 0

Add 2 to each side

1/2 x -2+2 > 0+2

1/2 x > 2

Multiply each side by 2

1/2 x *2 > 2*2

x > 4

There is an open circle at 4 and the line goes to the right

Answer:

It is the first option everything to the right of 4.

Step-by-step explanation:

Find the volume in cm³ of a length of pipe which has these measurements.

Volume of a cylinder = πr²h
π = 3.14

Answers

What are the measurements???

sin 0= 20/29 and cos 0 = -21/29. Find tan 0

Answers

Answer:

Tan(theta) = 20/-21

Step-by-step explanation:

Tan(theta) = Sin(theta)/Cos(theta)

[tex]\frac{\frac{20}{29} }{\frac{-21}{29} }[/tex]

Invert the denominator and multiply

[tex]\frac{20}{29}*\frac{29}{-21}\\\frac{20}{-21}[/tex]

Tan(theta) = 20/-21

Answer:

20/-21

Step-by-step explanation:

If there is an 10+ lax
on a $25 pair of pants
what is the tax
amount?

Answers

Answer:

A 6% sales tax.

Step-by-step explanation:

5. What is the volume of a cube with a side that is 7 ft. long

Answers

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]

5.) What is the volume of a cube with a side that is 7 ft. long.

[tex]\huge\underline{\sf{\red{Given:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{v = volume}[/tex]

[tex]\quad\quad\quad\quad\sf{s = side}[/tex]

[tex]\quad\quad\quad\quad\sf{s = 7ft}[/tex]

[tex]\huge\underline{\sf{\red{Fomula:}}}[/tex]

[tex]\quad\quad\quad\quad \boxed{\sf{v = {s}^{3} }}[/tex]

[tex]\huge\underline{\sf{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad {\sf{⟶v = {s}^{3} }}[/tex]

[tex]\quad\quad\quad\quad {\sf{⟶v = {(7)}^{3} }}[/tex]

[tex]\quad\quad\quad\quad {\sf{⟶v = 7×7×7 }}[/tex]

[tex]\quad\quad\quad\quad {\sf{⟶v = 343 }}[/tex]

[tex]\quad\quad\quad\quad ⟶\boxed {\sf{v = 343 \: {ft}^{3} }}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex] \huge\quad\quad \underline{\boxed {\sf{ \red{v = 343 \: {ft}^{3} }}}}[/tex]

#CarryOnLearning

[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]

mainly an addition to the terrific reply above, which is absolutely correct

Check the picture below.

Use the net to find the surface area of the regular pyramid 6ft 7ft 15.6

Answers

Answer:

ịnkhioh

Step-by-step explanation:

n kjkmmjkn bkknklk

use the divergence theorem to calculate the surface integral, calculate the flux of F across the oriented surface S, F=(x^3+y^3)i+(y^3+z^3)j+3y^2zk, S is the surface of the solid bounded by the paraboloid z=1-x^2-y^2 and the x y plane
please help me in this question

Answers

Baba is the one who is in love the fact that I am in eeevery in love hhshdgdvvsfgwjwjwjwuwuwiwiwiwiwiuwuwuwuwjwjhebe

The graphs below show measurements from cubes
with different side lengths.
Which pairs of variables have a linear relationship?
Select two options.
24
side length and perimeter of 1 face
20
perimeter of 1 face and area of 1 face
16
Perimeter of 1 Face
surface area and volume
A
area of 1 face and surface area
side length and volume
1
2
3
4
5
6
Side Length
40
36
32

Answers

Answer:

the first one and the third one

Step-by-step explanation:

Answer:

Side length and perimeter of 1 face

Area of 1 face and surface area

Step-by-step explanation:

If h (x) = 1 - 2/3, find h (x) when x is -6.

Answers

Answer:

h = 19/3

Step-by-step explanation:

The answer is h=19/3 :))

how is 470000000 written in scientific notation

Answers

Answer:

4.7 * 10^8

Step-by-step explanation:

Find the value of X

Answers

Answer:

100°

Step-by-step explanation:

the lower right angle is 180-149 = 31°

the sum of all three angles in a triangle is 180°.

so the solution is 180-31-49

Please help me with this question

Answers

9514 1404 393

Answer:

D(1, 2)

Step-by-step explanation:

The ordered pair is always (x-coordinate, y-coordinate).

The x-coordinate is the distance to the right of the y-axis. (It is negative for points left of the y-axis.) Here, point D lies 1 unit right of the y-axis, so its x-coordinate is 1.

The y-coordinate is the distance above the x-axis. (It is negative for points below the x-axis). Here, point D lies 2 units above the x-axis, so its y-coordinate is 2.

The ordered pair describing the location of D is ...

(x-coordinate, y-coordinate) = (1, 2)

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The volume of a rectangular prism with a cone-shaped hole in it is approximately 163.22 cm^3 What is the height of the cone?

Answers

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The volume of a rectangular prism with a cone-shaped hole in it is approximately 163.22 cm^3
What is the height of the cone?