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 to find the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.

Since the diameter is given as 8, the radius is half that, which is 4.

Substituting the values into the formula:
V = π(4^2)(12)
V = π(16)(12)
V = π(192)

Therefore, the volume of the cylinder is 192π.

Answer: b) 192π