Question

if you have a cylinder with a diameter of 15 and height of 12 inches. What is the volume of the largest sphere that will fit inside os it?

Answer 1

If we have a cylinder with a smaller height than diameter, the height is our constricting measurement. This means that our sphere's max diameter is 12 inches.

Solving for the volume of a sphere with diameter of 12 inches:
4/3 * pi * r^3
4/3 * 3.14 * 6^3
volume = 904.32 cubic inches