SOLUTION: A cylinder has the diameter equal to the heigh. It's volume is 360cm. What is it's height?

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Question 555599: A cylinder has the diameter equal to the heigh. It's volume is 360cm. What is it's height?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A cylinder has the diameter equal to the height. It's volume is 360cm.
What is it's height?
:
let h = the height
then
.5h = the radius (half the diameter)
:
The volume formula: pi%2Ar%5E2%2Ah = V
pi%2A%28.5h%29%5E2%2Ah = 360
.25h%5E2%2Ah = 360%2Fpi
.25h^3 = 114.6
h^3 = 4(114.6)
h^3 = 458.366
h = 458.36%5E%281%2F3%29
h = 7.71 cm is the height
:
:
See if that works out: r = 7.71/2 = 3.855 cm
V = pi%2A3.855%5E2%2A7.71
V = 359.98 ~ 360 cu/cm