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April 20, 2014

April 20, 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.

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