Second one
Note that the height of the cylinder = 2 * radius of the sphere
And the radius of the sphere = radius of cylinder
We need to find the radius of the cylinder
432 pi = pi * radius^2 * height
432 pi = pi * ( radius^2) *( 2* radius) [ divide out 2, pi ]
216 = radius^3 take the cube root of both sides
6 = radius
So....the volume of the sphere is
(4/3) pi * (radius)^3 =
pi * (4/3) * 6*3
pi * (4/3) * 216 =
288pi in^3
