# math

posted by .

A right circular conical tank, point down, with top radius of R and height H is fully filled with a liquid whose weight-density, d, depends on its depth from its surface as d(z) = az + b, where a and b are constant. What is the weight of the liquid in the tank.

## Similar Questions

1. ### Calculus I

A tank in the shape of an inverted right circular cone has height \$ 10\$ meters and radius \$ 8\$ meters. It is filled with \$ 6\$ meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top …
2. ### math

A conical tank sits point down, at ground level, so that the circular top of the tank is parallel to the ground. The tank is 5.0 meters tall, and the top of the tank has a diameter of 3.0 meters. The tank is half full of water. What …
3. ### Math - Calculus 2

An underground tank full of water has the following shape: Hemisphere - 5 m radius. at the bottom Cylinder - radius 5 m and height 10m in the middle Circular cone radius 5 m and height 4 m at the top The top of the tank is 2 m below …
4. ### Calculus 2

An underground tank full of water has the following shape: Hemisphere - 5 m radius. at the bottom Cylinder - radius 5 m and height 10m in the middle Circular cone radius 5 m and height 4 m at the top The top of the tank is 2 m below …
5. ### Math

An underground tank full of water has the shape of a circular cone with a base radius 5m and height 4m at the top. The top of the tankl is 2m below the ground-surface and is connected to the surface by a spout. Find the work required …
6. ### College Math

a conical tank is 15 feet deep and has an open top whose radius is 15 feet. Assume that starting at t = 0 water is added to the tank at a rate of pi ft^3/hr, and water evaporates from the tank at a rate proportional to the suface area …
7. ### maths --plse help me..

A toy is in the shape of a right circular cylinder with hemisphere on one end and a cone on the other . The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radius of the hemispherical and conical parts …
8. ### maths --Surface area and all that..

A toy is in the shape of a right circular cylinder with hemisphere on one end and a cone on the other . The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radius of the hemispherical and conical parts …
9. ### Calculus (math)

A tank in the shape of an inverted right circular cone has height 7 meters and radius 4 meters. It is filled with 5 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the …
10. ### calculus

A tank in the shape of an inverted right circular cone has height 10 meters and radius 16 meters. It is ﬁlled with 5 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the …

More Similar Questions