I'm taking the math SAT tomorrow, please help with this last question:

"a Piece of Clay is shaped into a container with a volume of 36pi. If the cylinder is rolled into a sphere, what will the sphere's radius be? "

The answer is 3, but how do you get that?

Question

I'm taking the math SAT tomorrow, please help with this last question:

"a Piece of Clay is shaped into a container with a volume of 36pi. If the cylinder is rolled into a sphere, what will the sphere's radius be? "

The answer is 3, but how do you get that?

dumbcow · Answer

set volumes equal
cylinder = pi*r^2*h
sphere = 4/3 pi*r^3
4/3 pi*r^3 = 36pi
pi cancels
4/3*r^3 = 36
r^3 = 36*(3/4)
r^3 = 27
r = cuberoot(27)
r = 3

anonymous · Answer

OMG, Thank You SO Much!!!! I can't believe I didn't see that. Thank You <3