Friday

December 19, 2014

December 19, 2014

Posted by **ibranian** on Sunday, August 12, 2012 at 11:17pm.

- math -
**Reiny**, Monday, August 13, 2012 at 9:27amlet height of cone be h m

let radius of cone be r m

but h = (3/4)(2r) = (3/2)r OR r = (2/3)h

or 2h = 3r -----> dh/dt = (3/2) dr/dt

V = (1/3)π r^2 h

= (1/3)π (4h^2/9) h

= (4/27) π h^3

dV/dt = (4/9) π h^2 dh/dt

when dV/dt = 10 and h = 4

10 = (4/9)π(16) dh/dt

dh/dt = 90/(64π) m/sec

= appr .4476 m/sec or appr 45 cm/sec

sub 90/(64π) into dh/dt = (3/2) dr/dt to find the other answer.

**Answer this Question**

**Related Questions**

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

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

Timerate problem(calculus) - Sand is being dropped at the rate 10 metercube/min ...

Calculus - Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, ...

Calculus Help - The County Roads Department is stockpiling salt for use next ...

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

calculus - At a quarry, sand is filling off a conveyor onto a conical pile at a ...

calculus - please help if you can At a sand & gravel plant, sand is falling off ...

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

Please help Math - Gravel is being dumped from a conveyor belt at a rate of 20 ...