SOLUTION: A cylinder has a volume of 600(3.14) cubic centimeters and a base with a circumference of 20(3.14) centimeters. What is the height of the cylinder in centimeters?

Algebra ->  Formulas -> SOLUTION: A cylinder has a volume of 600(3.14) cubic centimeters and a base with a circumference of 20(3.14) centimeters. What is the height of the cylinder in centimeters?      Log On


   

Question 1139624: A cylinder has a volume of 600(3.14) cubic centimeters and a base with a circumference of 20(3.14) centimeters. What is the height of the cylinder in centimeters?
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
h, the height
v, volume
r, radius
c, circumference

system%28v=h%2Api%2Ar%5E2%2Cc=2pi%2Ar%29

r=c%2F%282pi%29
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h=v%2F%28pi%2Ar%5E2%29
h=v%2F%28pi%28%28c%2F2pi%29%29%5E2%29
h=v%2F%28pi%2Ac%5E2%2F%284pi%5E2%29%29

highlight_green%28h=%284v%2Api%29%2Fc%5E2%29

Just substitute for v and c, and evaluate h.