Question

7. There are two water containers: a cube and a sphere. The length of the side of the cube is 3 m and the radius of the sphere is 3 m. When the two containers are full of water, which container contains more mass?

Answer 1

The container that contains a greater volume of water will contain a greater mass of water.

The volume of the cube is given by:

V = s³

V = volume, s = side length

Given values:

s = 3m

Plug in and solve for V:

V = 3³

V = 27m³

The volume of the sphere is given by:

V = 4πr³/3

V = volume, r = radius

Given values:

r = 3m

Plug in and solve for V:

V = 4π3³/3

V = 113m³

The sphere contains more mass.