Find the volume (in terms of pi) of a sphere if it’s surface area is 100 pi ft2. PLEASE HELP ME

Hey there! I'm happy to help!

to find the volume of a sphere, you cube the radius, multiply it by 4/3, and then multiply it by π.

First, we have to find the radius. To find the surface area you square the radius and multiply it by 4 and then π.

Let's do that formula backwards on our surface area to find the radius.

We divide by π

100÷π=100

We divide by 4.

100÷4=25

We find the square root.

√25=5

Now, we use our radius in the volume formula.

5³=125

125×4/3=500/3

We multiply by π.

500/3π

Therefore, the volume of a sphere if its surface area is 100π ft² is 500/3π ft³.

Have a wonderful day! :D

V=166.66 ft³

Step-by-step explanation:

The surface area of a sphere is 4r²

100=4

100/4

25=r²

r=5

Now that we know the radius is 5, we can find the volume.

v=4/3(5)³

v=(5*5*5*4)/3*

V=166.66

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