SOLUTION: The right circular cylinder above has a volume of 32π and a height of h. If d represents the diameter, which of the following expressions represents the volume of the smallest rec

Algebra ->  Volume -> SOLUTION: The right circular cylinder above has a volume of 32π and a height of h. If d represents the diameter, which of the following expressions represents the volume of the smallest rec      Log On


   

Question 1190489: The right circular cylinder above has a volume of 32π and a height of h. If d represents the diameter, which of the following expressions represents the volume of the smallest rectangular box that completely contains the cylinder?
a) dh
b) d^2*h^2
c) (d+h)^2
d) d*h^2
e) d^2*h
Answer by math_tutor2020(3817) About Me  (Show Source):
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Answer: e) d^2*h

Reason:
The base of the cylinder is a circle with diameter d.
The bottom of the box has a square face with side length d.
The area of this square face is d^2.
Multiply the area of the square face by the height to get the volume of the box.
The 32pi doesn't factor into the answer at all.