A cone has a volume of about 28 cubic inches. Which are possible dimensions for the cone?

A cone has a volume of about 28 cubic inches. Which are possible dimensions for the cone?

A:radius 6 inches, height 3 inches

B:diameter 4 inches, height 6 inches

C:diameter 6 inches, height 6 inches

D:diameter 6 inches, height 3 inches

1 answer

To find the volume of a cone, you can use the formula V = (1/3)πr^2h, where r is the radius of the base of the cone and h is the height of the cone.

Let's plug in the given dimensions for each option and see if they match the volume of 28 cubic inches:

A: V = (1/3)π(6^2)(3) = 36π cubic inches, which is not equal to 28 cubic inches.

B: V = (1/3)π(2^2)(6) = 8π cubic inches, which is not equal to 28 cubic inches.

C: V = (1/3)π(3^2)(6) = 18π cubic inches, which is not equal to 28 cubic inches.

D: V = (1/3)π(3^2)(3) = 9π cubic inches, which is not equal to 28 cubic inches.

None of the given dimensions match the volume of 28 cubic inches, so there may be a mistake in the given volume or options provided.