Find the surface area of a sphere that has a volume of 288pi cu. in.

Question

Find the surface area of a sphere that has a volume of 288pi  cu. in.

abdullahm · Answer

$\bf\Large Volume = \frac{4}{3}\pi r^3$

They told us that the volume is $\bf\Large 288\pi$

We need to plug that in and solve for r!

4everaddicted2anime · Answer

I need to multiply both sides by 3/4 right?

abdullahm · Answer

Yes :)

abdullahm · Answer

And then you need to find the cube root of both sides then.

We can already divide pi from both sides

abdullahm · Answer

$\bf\Large 288 = \frac{4}{3}r^3$

Multiply both sides by 3/4 and then take the cube root of both sides :)

4everaddicted2anime · Answer

Okay, I got 216=r^3
r=6

abdullahm · Answer

That's correct!

Now we need to plug in r = 6 into the surface area formula!

$\bf\Large SA = 4\pi r^2$

Plug in r = 6 :)

4everaddicted2anime · Answer

SA=4pi*6^2
SA=36*4pi
SA=144pi right?

abdullahm · Answer

Correct! :)

4everaddicted2anime · Answer

Thank you for your help

abdullahm · Answer

It was my pleasure! :)