Saturday

November 29, 2014

November 29, 2014

Posted by **Liz** on Sunday, October 7, 2012 at 4:56pm.

- calculus -
**Reiny**, Sunday, October 7, 2012 at 7:40pmgiven:

r = (1/2)h

2r = h

Let V be the volume

V = (1/3)π r^2 h

V = (1/3)π(r^2)(2r) = (2/3)π r^3

dV/dt = 2πr^2 dr/dt

when h = 10, r = 5

8 = 2π(25)dr/dt

dr/dt = 4/(25π)

Let circumference be C

C = 2πr

dC/dt = 2π dr/dt

so at that instance,

dC/dt = 2π(4/(25π) = 8/25 ft/min

**Answer this Question**

**Related Questions**

Calculus: free body diagram--PLZ HELP!=) - Grain is being poured through a chute...

Math - Corn is poured through a chute at the rate of 10ft^3 / min and falls in a...

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 ...

12th grade - Wheat is falling from a chute onto a level floor at a rate of 8pi ...

math - San falls from a conveyor belt at the rate of 10 m^3/min onto the top of ...

Calc - Gravel is being dumped from a conveyor belt at a rate of 10 ft^3/min. It ...

calculus - Sand falls from a conveyor belt at a rate of 20 m^3/min onto the top ...

Related rates - Sand is being dropped at the rate of 10 cubic meter per minute ...

CALCULUS - Sand is being poured from a converyer belt forming a conical pile ...