Answer:
D. 54π cubic units
Step-by-step explanation:
The height of the cylinder is the vertical distance between the planes containing its ends. That distance is one leg of a 45°-45°-90° triangle whose hypotenuse is 6√2. The ratio of sides in such a triangle is 1 : 1 : √2, so the leg length of interest is (6√2)/(√2) = 6 units.
The volume is given by ...
V = πr^2h
V - π(3^2)(6) = 54π . . . cubic units
