Posted by **Inkiena** on Tuesday, July 2, 2013 at 10:09pm.

sand is falling into a conical pile so that the radius of the base of the pile is always equal to one half its altitude. of the sand is falling at the rate of 10 cubic feet per minute, how fast is the altitude of the pile increasing when the pile is 5 feet deep?

- Calculus -
**Reiny**, Tuesday, July 2, 2013 at 10:59pm
given: r = h/2

V = (1/3)π r^2 h

= (1/3)π (h/2)^2 (h)

= (1/12) π h^3

dV/dt = (1/4)π h^2 dh/dt

for the given data ...

10 = (1/4)π(25)dh/dt

dh/dt = 10(4)/((25π) = 1.6/π feet/min

check my arithmetic

- Calculus -
**Anonymous**, Wednesday, January 14, 2015 at 12:31am
LOL

- Calculus -
**Anonymous**, Sunday, December 13, 2015 at 8:40pm
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

## Answer This Question

## Related Questions

- calculus - please help if you can At a sand & gravel plant, sand is falling off ...
- Related Rates - Sand is falling into a conical pile at the rate of 10 m3/sec ...
- Timerate problem(calculus) - Sand is being dropped at the rate 10 metercube/min ...
- 12th grade - Wheat is falling from a chute onto a level floor at a rate of 8pi ...
- Calculus - A storage tank used to hold sand is leaking. The sand forms a conical...
- Calculus I - Sand falls from a hopper into a conical pile with radius equal to ...
- Related rates - Sand is being dropped at the rate of 10 cubic meter per minute ...
- AB Calculus - I figured out that part "A" is -3/8, but i can't figure out part 2...
- AP Calculus - Wheat is poured through a chute at the rate of and falls in a ...
- AP Calculus - Sand pouring from a chute forms a conical pile whose height is ...

More Related Questions