SOLUTION: If the height of a right circular cylin- der is halved and the diameter is tripled, how is the vol- ume changed?
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Question 439240: If the height of a right circular cylin- der is halved and the diameter is tripled, how is the vol- ume changed?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
If the height of a right circular cylin- der is halved and the diameter is tripled, how is the vol- ume changed?
.
If
d = diameter
h = height
.
volume before reduction:
h(pi)r^2
h(pi)(d/2)^2
h(pi)d^2/4
.
After reduction:
(h/2)(pi)(3d)^2/4
(h/2)(pi)9d^2/4
(9/2)(h)(pi)d^2/4
.
therefore, the volume increases by 9/2
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