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) (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: = V
= 360
=
.25h^3 = 114.6
h^3 = 4(114.6)
h^3 = 458.366
h =
h = 7.71 cm is the height
:
:
See if that works out: r = 7.71/2 = 3.855 cm
V =
V = 359.98 ~ 360 cu/cm
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