Monday

November 24, 2014

November 24, 2014

Posted by **Alannah** on Sunday, December 16, 2012 at 5:29pm.

- AP calculus -
**Steve**, Sunday, December 16, 2012 at 5:53pmwhen the water is at depth x, the radius of the surface of the water is 5/12 (12-x)

so, the volume of the air space is 1/3 pi r^2 h

= 1/3 pi (5/12 (12-x))^2 (12-x)

= 25pi/432 (12-x)^3

the volume of water is thus the tank volume less the air space:

v = pi/3 * 25^2 * 12 - 25pi/432 (12-x)^3

= 100 pi - 25pi/432 (12-x)^3

dv/dt = 25/144 pi (12-x)^2 dx/dt

3 = 25/144pi * 25 dx/dt

dx/dt = 432/(625pi) = 0.22 ft/min

**Answer this Question**

**Related Questions**

Calculus - A water tank is shaped like an inverted right circular cone with a ...

Calculus - Water is draining at a rate of 2 cubic feet per minute from the ...

Calculus - Given a right circular cone, you put an upside-down cone inside it so...

Math - A tank in the shape of a cone has a diameter of 8 feet and a height of 10...

math - Two right circular cone, one upside down in the other. The two bases are ...

CALCULUS - PLEASE HELP - Water is flowing at a rate of 50 cubic meters per ...

calculus - A hollow cone has height 5 feet and base diameter 4 feet. The vertex...

Math - An oil tank is the shape of an inverted right circular cone with the ...

calculus - Given a right circular cone, you put an upside-down cone inside it so...

AP CALCULUS!!! HELPP - related rates: the base of a pyramid-shaped tank is a ...