Saturday

August 30, 2014

August 30, 2014

Posted by **lou** on Monday, July 18, 2011 at 2:56pm.

a) Find the volume V of the water as a function of the water level h.

b) Find h as a function of the time t during which water has been flowing into the tank.

height of cylinder: 80m

height of water: ?

diameter of cylinder: 40m

- math -
**Damon**, Monday, July 18, 2011 at 5:09pmV = pi r^2 h

dV/dt = pi r^2 dh/dt = 10 m^3/s

so

dh/dt = 10/(pi r^2)

h = 0 + [ 10/(pi r^2) ] t

**Related Questions**

math - Water is flowing at the rate of 15km/hr. Through a cylindrical pipe of ...

math - Tank 1 initial contains 70 L (liters) of water and 450 g of salt, while ...

mat 116 - two large storage tanks, T and W contain water. T starts losing at the...

calculus - A water heater in the shape of a circular cylinder is standing ...

Math - "A tank holds 1000L of water, which takes an hour to drain from the ...

Math - A conical tank (with its vertex down) is 8 feet tall and 6 feet across ...

math - Water is leaking out of an inverted conical tank at a rate of 11400 cm^3/...

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

calculus - Water is leaking out of an inverted conical tank at a rate of 10,000 ...

calculus-rate problem - A conical tank (with vertex down) is 10 feet acros the ...