Question

If the diameter of a small red beach ball is 8 inches, then the cone with the same radius and a height of 8 inches would fit into the beach ball __times and the volume of the cone would be about . ___in^3.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The cone would fit into the beach ball approximately 12.5 times.

The volume of a cone is given by the formula V = 1/3 * π * r^2 * h, where r is the radius and h is the height.

Since the cone has the same radius as the beach ball, the radius of the cone is half of the diameter of the beach ball, which is 4 inches.

Plugging in the values, we get:

V = 1/3 * π * 4^2 * 8
V = 1/3 * π * 16 * 8
V ≈ 134.04 in^3

Therefore, the volume of the cone would be approximately 134.04 cubic inches.