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MATH SOLVE
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The radius of a right circular cylinder is decreasing at a rate of 2 inches per minute while the hei...
4 months ago
Q:
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.
Accepted Solution
A:
V(t) = Οr^2h
V'(t) = Ο(2rr'h + r^2h')
V'(t) = Ο(2(5)(-2)(7) + 5^2(8)
V'(t) = Ο(-140 + 200)
V'(t) = 60Ο in^3