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

Math  Steve, Monday, April 2, 2012 at 10:46am
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

Math  Gabriel, Sunday, November 18, 2012 at 10:29pm
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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