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 options: 268, 2/3, 89, 3, 2, 1, 134, 536, or 1/3
The radius of the small red beach ball can be found by dividing the diameter by 2:
Radius = 8 inches / 2 = 4 inches
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. Substituting in the values we have:
V = (1/3) * π * (4 inches)^2 * 8 inches
V ≈ (1/3) * 3.14 * 16 * 8
V ≈ (1/3) * 3.14 * 128
V ≈ 134 cubic inches
Therefore, the cone with the same radius and a height of 8 inches would fit into the beach ball 1 time and the volume of the cone would be about 134 in^3.
The answer options provided do not seem to match the correct answer.
Are you sure that the correct answer
I apologize for the mistake in my earlier response. Let's re-calculate the volume of the cone:
Given that the radius of the cone is 4 inches and the height of the cone is 8 inches, we can use the formula for the volume of a cone:
V = (1/3) * π * r^2 * h
V = (1/3) * π * 4^2 * 8
V = (1/3) * π * 16 * 8
V = (1/3) * π * 128
V ≈ 134.04128655 in^3
Therefore, the cone with the same radius and height as the small red beach ball would have a volume of approximately 134.04 in^3. The cone would fit into the beach ball 2 times.