Question

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

Answer 1

\(\bf\Large Volume = \frac{4}{3}\pi r^3\)

They told us that the volume is \(\bf\Large 288\pi\)

We need to plug that in and solve for r!

Answer 2

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

Answer 3

Yes :)

Answer 4

And then you need to find the cube root of both sides then.

We can already divide pi from both sides

Answer 5

\(\bf\Large 288 = \frac{4}{3}r^3\)

Multiply both sides by 3/4 and then take the cube root of both sides :)

Answer 6

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

Answer 7

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 :)

Answer 8

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

Answer 9

Correct! :)

Answer 10

Thank you for your help

Answer 11

It was my pleasure! :)