SOLUTION: A cylinder with a volume of 576pi m3 is circumscribed about a square prism which has one side of the base that measures 8m. What is the altitude of the cylinder?
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Question 1085020: A cylinder with a volume of 576pi m3 is circumscribed about a square prism which has one side of the base that measures 8m. What is the altitude of the cylinder?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A cylinder with a volume of 576pi m3 is circumscribed about a square prism which has one side of the base that measures 8m.
What is the altitude of the cylinder?
:
The diagonal of the square base of the prism is also the diameter of the base of the cylinder
d =
d = 11.314 m diameter
r = 11.314/2 = 5.657 is the radius
therefore
divide both sides by pi, square 5.657
32h = 576
h = 576/32
h = 18 m is the altitude of the cylinder
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