Find the volume of a cylinder if it has a diameter of 8 and a height of 12. Leave your answer in terms of Tr.
A 64T
192T
256T
D
768T
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 (r) is half of the diameter, which is 8/2 = 4.
Substituting the values into the formula, we have V = π(4^2)(12) = 16π(12) = 192πT.
Leaving the answer in terms of T, the volume of the cylinder is 192T.
Therefore, the correct option is B) 192T.