Answer: 50.24 in3
Explanation:
The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone.
From the given information, we know that the diameter of the base of the cone is 8 inches, so the radius is 4 inches.
We also know that the height is twice the radius, so h = 2r = 8 inches.
Substituting these values into the formula, we get:
V = (1/3)π(4 in)^2(8 in) = (1/3)π(16 in^2)(8 in) = 50.24 in^3.
Therefore, the volume of the cone is 50.24 in^3, which corresponds to option 2.