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A bucket weighing 12 pounds, is filled with water weighing 16 pounds. The
bucket is the bottom of a 35 foot well, hanging from a chain that weighs
0.2 pounds per foot. Hpw much work is done in lifting the bucket to the top
of the well?
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It takes 240 poundes of force to compress a spring 2 inches from its natural length
of 12 inches.How much work is done in compressing it an additional 2 inches?
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A tank in the shape of a right circular cone is 4 feet tall and 2 feet in diameter
at the top, and is half full of water. How much work is done in pumping the water to the top of the tank?
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A trough is 15 feet and its cross section is in the shape of an isisceles
triangle 2 feet wide across the top and 3 feet tall. The trough is full of oil
weighing 45 lbs per cu feet. How much work is done in pumping the oill to the
top of the tank?
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A water tank in the shape of a hemisphere has a radius of 4 feet. The water level
is 1 foot below the top of the tank. Hoe much work is done in pumping the
water to a point 2 feet above the top of teh tank?
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Let A be the region bounded by y = In x, the x - axis and the line x = e.
What is the volume generated when A is recolved around the y - axis?
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