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3 years ago

6

The radius of a right circular cylinder is decreasing at a rate of 2 inches per minute while the height is increasing at a rate

of 8 inches per minute. determine the rate of change of the volume when r = 5 and h = 7.

1 answer:

gizmo_the_mogwai [7]3 years ago

6 0

V(t) = πr^2h
V'(t) = π(2rr'h + r^2h')
V'(t) = π(2(5)(-2)(7) + 5^2(8)
V'(t) = π(-140 + 200)
V'(t) = 60π in^3

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