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.
Responses
A 64π64π
B 192π192π
C 256π256π
D 768π
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 of that, which is 4.
Plugging the values into the formula, we have V = π(4^2)(12) = 192π.
Therefore, the volume of the cylinder is 192π.
So the correct answer is option B: 192π.