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Posted by Linda on Monday, April 2, 2012 at 4:30am.

Corn is poured through a chute at the rate of 10ft^3 / min and falls in a conical pile whose bottom radius is always half the height. How fast is the circumference of the base changing when the pile is 8 feet high? Please explain

h = 2r, so v = 1/3 pi r^2 * 2r = 2pi/3 r^3 dv/dt = 2pi r^2 dr/dt 10 = 2pi*4^2 = 32pi dr/dt dr/dt = 5/16pi now, c = 2pi*r, so dc/dt = 2pi dr/dt = 2pi * 5/16pi = 10/16 = 5/8

Pauline jogs at 5 1/3 miles per hour for 1 5/6 hours. about how many miles has she walked?

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