Problema Solution
A cylinder with a volume of 576 cubic m is circumscribed about a square prism which has one side that measures 8 m.find the altitude of the cylinder.
Answer provided by our tutors
The diagonal of the square is a diameter of the cylinder's base:
r^2 = 16*2
r^2 = 32
The volume of the cylinder is: V = r^2*pi*h, where h is the altitude.
We know that V = 576 m^2 thus we have:
32*pi*h = 576
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click here to see the equation solved for h
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h = 5.73 m
The altitude of the cylinder is 5.73 m.