Math 129.
Section 8.5
1.
A worker on a roof 50 ft above the ground needs to lift a 300 lb bucket of cement from
the ground to the point 20 ft above the ground by pulling on a rope weighing 4lb/ft. How
much work is required?
2.
A water tank is in shape of right circular cylinder with the height 30 ft and radius 8 ft.
If the tank is full of water, find the work required to pump all of it over the top of the rim.
Hint: 1 cubic foot water weighs 62.4 lb.
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A water tank is in shape of right circular cone with the height 30 ft and radius of the
base 8 ft.
If the tank is full of water, find the work required to pump all of it over the top
of the tank. Hint: 1 cubic foot water weighs 62.4 lb.
4.
A gas station
stores its gasoline in a tank under the ground. The tank is a cylinder lying
horizontally on its side.
If the radius of the cylinder is 5feet, its length is 15 feet, and the
top is 12 feet under the ground, find the total work needed to pump the gasoline out the
tank. Gasoline weighs 42 lb per cubic foot. The tank is full of gasoline.
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 Spring '08
 GABITOV
 Math, Calculus, United States customary units, Ruled surface

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