Find the volume of a cylinder if it has a diameter of 8 and a height of 12. Leave your answer in terms of π.

A 64π

B 192π

C 256π

D 768π

1 answer

The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.

Given that the diameter is 8, the radius is half the diameter, which is 8/2 = 4.

Substituting the values into the formula, we get V = π(4^2)(12) = π(16)(12) = 192π.

Therefore, the volume of the cylinder is 192π.

The correct answer is B) 192π.