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:
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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<h2>ANSWER→ </h2>
- 16 miles
- 12 minutes is 1 /5 of a hour
- 80 ÷ 5 is 16
- or 80x 1.466 =117.28 ft per second
- 12 minutes x 60 seconds is 720
- 117.28× 720= 84,441.6
- 84441.6÷ 5280= 15.992 miles.
Add positive 28 to get the sum 0