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?

## Answer This Question

## Related Questions

- calculus - grain is being poured through a chute at rate of 8 ft^3/min and forms...
- AP Calculus - Wheat is poured through a chute at the rate of and falls in a ...
- Calculus - Wheat is poured through a chute at the rate of 10 ft^3/min and falls ...
- Calculus: free body diagram--PLZ HELP!=) - Grain is being poured through a chute...
- math - San falls from a conveyor belt at the rate of 10 m^3/min onto the top of ...
- calculus - Sand falls from a conveyor belt at a rate of 20 m^3/min onto the top ...
- 12th grade - Wheat is falling from a chute onto a level floor at a rate of 8pi ...
- AP Calculus - Sand pouring from a chute forms a conical pile whose height is ...
- Calculus I - Sand falls from a hopper into a conical pile with radius equal to ...
- Calculus - Sand is poured onto a level piece of ground at the rate of 0.25 m^3/...

More Related Questions