Question

A box contains 9 Identical glass spheres that are used to make snow globes. The spheres are tightly packed. They are held in a 12ft by 12ft box.

What is the total volume, in cubic inches, of all 9 spheres? Round your answer to the nearest tenth of a cubic inch.
Volume of a sphere= 4/3 Πr^2

Answer 1

Because the balls or spheres are tightly packed in a cube, their radius is approximately equal to 2 ft. The volume of a sphere is calculated through the equation,
V = 4/3πr³
Substituting the known radius,
V = 4/3π(2 ft)³
V = 33.51 ft³
The 9 spheres will have a total volume of 301/59 ft³ which is also equal to 521152.52 in³.