A sphere has a volume of 4,500 cubic feet. Find the radius of the sphere.

Answers

Answer 1

Step-by-step explanation:

Volume of a sphere is

[tex]v = \frac{4}{3} \times \pi \times {r}^{3} [/tex]

We are given the volume, v, and asked to find the radius, r.

Substitute 4500 ft^3 for v, solve for r.

[tex]4500 = \frac{4}{3} \times \pi \times {r}^{3} [/tex]

Multiply both sides by 3/4 to eliminate 4/3

[tex] \frac{3}{4} \times 4500 = \frac{4}{3} \times \pi \times {r}^{3} \times \frac{3}{4} [/tex]

[tex] \frac{13500}{4} = \pi \times {r}^{3} \: \\ then \: divide \: by \: \pi[/tex]

[tex] \frac{3375}{\pi} = {r}^{3 \: \: take \: the \: cubed \: root \: of \: both \: sides} [/tex]

[tex] \frac{ \sqrt[3]{ {15}^{3} } }{ \sqrt[3]{\pi} } = \sqrt[3]{r} [/tex]

[tex] \frac{15}{ \sqrt[3]{\pi} } = r [/tex]

That approximates to 10.27 ft^3


Related Questions


pls help. I need the answer and how you got it. Pls and thank you:)

Answers

The two angles shown are vertical angles which are the same.

x+10 = 59

Subtract 10 from both sides:

x = 49

A car dealership pays $8,350 for a car. They markup the price by 17.4% to get the retail price. What is the retail price of the car at this dealership?

Answers

Answer:

I belive its $9,802.9

Step-by-step explanation:

$8,350 x 0.174 ( 17.4 ÷ 100)

= $1,452.9

$8,350 + $1,452.9 = $9,802.9

Determine which function has a greater change of rate.
Be sure to show work as well.

Answers

Answer:

A

Step-by-step explanation:

You need to find the slope in A.  y = x + (4x - 1) = 5x -1.   The slope is 5.

In B,  as x increases 1 unit, y increases 1 unit.  Therefore, the rate of change is 1/1 = 1

Conclusion:  In A the rate of change is 5 and in B the rate of change is 1.

Therefore, A has a greater rate of change

Please help I’ll give brainliest and 20 extra points!




Select the box in each row to identify the equivalent decimal.

Answers

Answer:

42/63 = .6 repeating

30/38 = .625

36/60 = .6

57/90 = .63 repeating

Step-by-step explanation:

Nd if I'm wrong then the 2nd nd 3rd one are switched

Justin has a savings account.

He started with $25 in his account.

He deposits $10 into the account each
week.

Let 'b' represent the amount Justin has in the bank account after 'w' weeks.
---
Which statement is correct?

A. The variable W is dependent on the variable B.

B. The variable B is dependent on the variable W.

C. Both B and W are independent variables.

D. Both B and W are dependent variables.​

Answers

Answer:

D. Both B and W are dependent variables.​

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

took the test before an got the answer right

what is the area of the figure below? Equation below v

Answers

Answer:

68 in^2

Step-by-step explanation:

Find the multiplier for 21.6% decay

Answers

Answer:

5pts

Step-by-step explanation:

The required multiplier for 21.6% decay is 78.4%.

Given that,
To find the multiplier for 21.6% decay

What is percentages?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

What is simplification?

The process in mathematics to operate and interpret the function to make the function simple or more understandable called simplifying and the process is called simplification.

In the question, the multiplier for the rate of 21.6% decay is to be determined.
A multiplier of decay implies decay  = 1 - r

Since let the Decay multiplier be x
x = 1 - r
x = 1 - 0.216
x = 0.784
x = 78.4%

Thus, the required multiplier for 21.6% decay is 78.4%.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ2

what is 3x+5=-8(x+3)

Answers

Answer:

-29/11

Step-by-step explanation:

i used a calculator lol

How would it be? I said it is wrong.

Answers

Answer:

you got it kinda just take away the shaded part for the angle <edf

Step-by-step explanation:

Answer:

The image has the area outlined that you should shade.

Step-by-step explanation:

Hope it helps and is correct!

Solve the system of equations using the elimination method and enter the value of y.
4x - 5y = -9
- 4x+y=-7
y =

Answers

i think it is y= 9/5 + 4x/5

This line segment will be dilated with the point of dilation at (4, 1) and a scale factor of 2. What is the x-coordinate of one of the endpoints of the dilated segment

Answers

The x-coordinate of one of the endpoints of the dilated segment should be 8.

Calculation of x-coordinate:In the case when a coordinate point (x, y) should be dilated by a factor k, so the coordinate should be (kx, ky).Since the coordinate (4,1), so if this coordinate is dilated by a factor of 2 so the new coordinate points should be at (2(4), 2(1))

Now

New point = (8, 2)

This question is incomplete, kindly find the attached image for it.

Learn more about the segment here: https://brainly.com/question/17165887

15 feet by 120 inches area

Answers

Answer:

21600 In.

Step-by-step explanation:

First, turn 15 feet into inches

15*12 is 180

then do 120*180 which equals 21600 In.

Find the distance between the two points. (2, 4), (7, 2)



The distance between the two points is __ units.

Answers

Answer:

✓29

Step-by-step explanation:

x1 = 2

x2 = 4

y1 = 7

y2= 2

Then you apply it into the formula of distance.

hope It helps.

Increase the number 60 by 30%

Answers

Answer:

78

Step-by-step explanation:

10% = 6

⬇️ x3

30% = 18

⬇️ Add onto 60

60+18=78

10% of 60=6
30% of 60=18
60+18=78

Examine the solution to the equation.
-6(x + 5) + 3 = -2(x + 4) - 4x
-6x - 30+3=-2x–8 – 4x
Which statements accurately describe this equation?
Check all that apply.
This equation has one solution.
This equation has no solution.
This equation has infinitely many solutions.
Any input value for the variable will generate a true
equation.
-6x-27 = -6x - 8
-27 = -8
Any input value for the variable will generate a false
equation.
Intro
Done

Answers

Answer:

The answer is 2 and 5

Step-by-step explanation:

Find slope intercept form.
(M=1/2) (6,3)

Answers

Answer:

y = (1/2)x

Step-by-step explanation:

Start with that form:  y = mx + b.  Substitute 1/2 for m, 6 for x and 3 for y, for the purpose of finding the value of the y-intercept, b:

3 = (1/2)(6) + b.  Thus, b = 0 and the desired equation is  y = (1/2)x.

I need help with number 5, and 6.

Please and thank you.

Answers

Answer:

5 - 1 year

6 - 738.92

Step-by-step explanation:

5:  260 = 250(1.04)^t

Divide both sides by 250, and we get 1.04. So t must be 1.

6:  x + 45 = x(1.03)²

Solve to find x

Find a whole number a such that the numbers .3/a a/8 and 63% are in order from least to greatest.

Answers

Answer:

2???

Step-by-step explanation:

Evaluate each expression:
1. (-1) x 2 x 3
2. (-1) x (-2) x 3
3. (-1) x (-2) x (-3)
Need Answer for all the expressions.

Answers



1. 6
2. 6
3. 6

The answers all look different but they all have the same answer

Solution for 1/3p+8=11

Answers

Answer:

p = 9

Step-by-step explanation:

The answer is p=9. I think

The height and the slant height of a cone are 24 cm and 25 cm respectively. Find the volume of the cone.

Pls answer with steps :)

Answers

Answer:

volume =183.26 cm³

Step-by-step explanation:

volume of a cone = 1/3πrl

l is the slant height

using; l²=h²+r²

r²= l²-h²

r²= 25²-24²= 625-576 =49

r=√49=7cm

volume = 1/3πrl = 1/3 (π×7×25)= 1/3 ×549.78

=183.26 cm³

Use your plan to find the temperature at the top of Mt Everest.
The temperature at the top can be found by evaluating the
expression —3— 58 (1).

Answers

Answer:

- 61

Step-by-step explanation:

-3 - 58 = -61

times 1 is

is -61

A scientist makes $150,000 per year. She deposits 5% of her yearly income in a travel savings account. How much money should she have in her savings account by the the end of the year in dollars and cents?

Answers

Answer:

the answer is $7,500.00 or 7500

plz mark me as brainly

Step-by-step explanation:

What does it mean to SOLVE a system of linear equations?

Answers

Answer:

In solving a system of linear equations, we try to find values for each of the unknowns that will satisfy every equation in the system

Step-by-step explanation:

PLZ HELP PLZ PLZ PLZ HELP

Answers

Answer:the diameter is 7

Step-by-step explanation: 21.98 divide by pi is 7 so diameter is 7

3 of 5
In a group of 30 pupils, 13 play the flute only.
1 plays the piano only.
4 play both instruments.
How many pupils play neither instrument?

Answers

Answer: 6 or 0.6

Step-by-step explanation:

❗️❗️EASY 10 points HELP ME ❗️❗️There
are 10 game pieces in a bag 5 yellow, 2 red, and 3 green,
You randomly select a game piece from above and do not put it back. What is the probability
choose yellow then red?
1/9
1/2
3/7
d
3/10

Answers

Answer:

1/2

Step-by-step explanation:

since there are 5 yellow pieces that is half of the game pieces

four tanks each had 54 litres and 750ml. what is their total capacity in litres ​

Answers

Answer: 219 I beleive

Step-by-step explanation: 54(4)+(.750)4=219

Answer:

each tank = 54 + (750÷ 1000) liter = 54.75L

so the capacity of the four tanks = 4x 54.75 = 219litre

Step-by-step explanation:

1) change 750 ml int litre which is equal 750÷1000 = 0.75L

2) add 54 +0.75

3) multiply 4 by 54.75 = 219L

3
11/
Will the solution (-3, -7) make the following system of equations a true statement?
y = 4x + 5
y = x - 4

Answers

Yes
-7=4(-3)+5
-7=-12+5
-7=-7

-7=-3-4
-7=-7

please help!

Create an equation for the following situation and find the value of x.

8 more than 2 times a number x, all divided by 5 equals 2.

Answers

Answer:

8+2x/5=2

2x/5=2-8

2x/5=-6

2x=-6x5

2x=-30

x=-30/2

x=-15

Step-by-step explanation:

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