Question

A sphere has a radius of 3 inches. A cylinder has a radius of 3 inches and a height of 6 inches. If the sphere is filled with water and is poured into the cylinder, what will the height of water in the cylinder be?

Answer 1

1.5 (not in terms of pi)

Explanation:

Volume of sphere = 4/3 times π times r^3

= 4/3 times π times 3^3

= 113.04 inches^3

Volume of cylinder = π times r^2 times h(height)

= π times 3^2 times 6

= 169.56 inches^3

Volume of cylinder/Volume of sphere: 169.56 inches^3 / 113.04 inches^3 = 1.5

The height is 1.5 inches^3.

Answer 2

Explanation:

sphere =4/3*pi*r^3=4/3*27*pi= 36pi

The base of the cylinder is a circle with area pi*r^2=9pi

36pi/9pi=4

The height will be 4 inches