Answer:
B. π(3/2)²h
(27/4)π cubic inches
Explanation:
A. The formula for the volume of a cylinder is ...
V = πr²h
The radius (r) is half the diameter, so for a diameter of 3 inches, the radius is 3/2 inches. When this is put into the formula, the volume is ...
V = π(3/2)²h . . . . . . matches choice B
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B. When h=3, the volume evaluates to ...
V = π(9/4)(3) = (27/4)π . . . . cubic inches