Friday

January 30, 2015

January 30, 2015

Posted by **leone** on Thursday, August 9, 2012 at 2:33am.

a) Suppose water is added at the rate of 3 cu.cm./sec. How fast is the water level rising when the height h = 2cm.?

b) Suppose instead no water is added, but water is being lost by evaporation. Show the level falls at a constant rate.

- Maths -
**Reiny**, Thursday, August 9, 2012 at 10:52amSince the vertex angle is 90°, the radius of the cone must be equal to the height of the cone, so the radius of the water level = height of the water level , so

r = h

Vol = (1/3)πr^2h

= (1/3)πh^3

d(vol)/dt = πh^2 dh/dt

3 = π(2^2) dh/dt

dh/dt = 3/(2π) cm/sec

b) was there no rate of evaporation given?

**Answer this Question**

**Related Questions**

Pure Maths - A container is in the shape of a right circular cone (inverted) ...

Calculus - A container in the form of a right circular cone (vertex down) has a...

math - A cone shaped container with its vertex at the top and its circular base ...

Calculus - A container is in the shape of an inverted right circular cone has a ...

Calculus - A container in the form of a right circular cone of height 16 cm and ...

math - Suppose we pump water into an inverted right-circular cone tank at the ...

Calculus - A large container has the shape of a frustum of a cone with top ...

Calculus - A large container has the shape of a frustum of a cone with top ...

calculus - A large container has the shape of a frustum of a cone with top ...

math - a vessel comtaining water has the shape of an inverted circular cone of ...