The volume of a sphere is 36π in³.

What is the radius of the sphere?

Question

The volume of a sphere is 36π in³.

What is the radius of the sphere?

dude · Answer

We can use the volume formula
$$V=\frac43πr^3$$
We can work backwards and substitute the values we know

Comerpickles · Answer

How'd you get 4/3? I mean, where did that come from?

dude · Answer

That is the equation to find the volume of a sphere
If you have a reference sheet it should be there

Comerpickles · Answer

Oh okay so how do I identify the radius?

dude · Answer

By substituting we get
$$36\pi=\frac43πr^3$$

Comerpickles · Answer

Ahh okay, let me do this real quick

Comerpickles · Answer

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dude · Answer

$36\pi =\frac{4}{3}\pi r^3$
Multiply 3 on both sides
$108\pi =4\pi r^3$
Divide both sides by 4pi
$r^3=27$
We know that 27 is a perfect cube. So,
$r=3$

Comerpickles · Answer

So what do I do next? 36pi = 4/3 * 3^2?

dude · Answer

Nothing else :P
3 is your radius

Comerpickles · Answer

True, but they wanna know how many inches

Comerpickles · Answer

So I just put in 3?

dude · Answer

Yep, this is still in inches

Comerpickles · Answer

Ohhh

Comerpickles · Answer

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dude · Answer

Heh, is it the same problem as last one except you were given a different value
$V=\frac43\pi 3^3$

Comerpickles · Answer

36pi

dude · Answer

Right