SOLUTION: a cylinder has a volume of 75 pi cm cubed, the radius and height are both whole numbers, given this data, the radius of the cylinder must be greater than the height thanks

Algebra ->  Volume -> SOLUTION: a cylinder has a volume of 75 pi cm cubed, the radius and height are both whole numbers, given this data, the radius of the cylinder must be greater than the height thanks      Log On


   

Question 212122: a cylinder has a volume of 75 pi cm cubed, the radius and height are both whole numbers, given this data, the radius of the cylinder must be greater than the height
thanks
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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cylinder has a volume of 75 pi cm cubed, the radius and height are both whole numbers,
given this data, the radius of the cylinder must be greater than the height
:
The formula:
pi%2Ar%5E2%2Ah = V
:
pi%2Ar%5E2%2Ah = 75%2Api
divide both sides by pi
r^2*h = 75
h = 75%2Fr%5E2
choose a value for r which gives an integer value for h.
r = 5, then h = 3; the only solution that satisfies