Question

A store sells two chocolate baseballs for the same price. One is a hollow sphere 10 cm in diameter on the outside, with a shell that is 1 cm thick. The other is a solid sphere with a diameter of 8 cm. Which sphere contains more chocolate?

Answer 1

The hollow sphere contains more chocolate as it has a greater volume than the solid sphere.

Step-by-step explanation:

The hollow sphere contains more chocolate than the solid sphere.

To calculate the volume of the hollow sphere, subtract the volume of the inner sphere from the volume of the outer sphere:

Volume of outer sphere = (4/3)π(53) = 500π cm³

Volume of inner sphere = (4/3)π(43) = 256π cm³

Volume of hollow sphere = (500π - 256π) = 244π cm³

To calculate the volume of the solid sphere:

Volume of solid sphere = (4/3)π(43) = 256π cm³

Therefore, the hollow sphere contains more chocolate as it has a greater volume than the solid sphere.