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2. These problems deal with pumping water out of a tank. Use the fact that the density of water is 9800 N/m³ in metric units and 62.5 lb/ft³ in Imperial units. Assume for each problem, we only need pump the water up to the top of the tank (or the top of the spicket if it has one) where it will flow out on its own from there. (a) A circular tank has a radius of 3 feet and is 5 feet tall. If the tank is filled with water, how much work is required to pump all the water out? (b) An aquarium is 10 m long, 9 m wide and 6 m deep. The water is filled up to the 5 m mark. Find the work needed to pump all the water out of the aquarium, up to the top of the tank. 12 ft (c) A tank in the shape of a wedge (see the illustration at right) is filled with water. Find the work needed to pump all the water out through the spicket shown. (d) A tank in the shape of a sphere (see the illustration at right) is filled with water. Find the work needed to pump all the water out through the spicket shown. T 1 T10R Im m

2. These problems deal with pumping water out of a tank. Use the fact that the density of water is 9800 N/m³ in metric units and 62.5 lb/ft³ in Imperial units. Assume for each problem, we only need pump the water up to the top of the tank (or the top of the spicket if it has one) where it will flow out on its own from there. (a) A circular tank has a radius of 3 feet and is 5 feet tall. If the tank is filled with water, how much work is required to pump all the water out? (b) An aquarium is 10 m long, 9 m wide and 6 m deep. The water is filled up to the 5 m mark. Find the work needed to pump all the water out of the aquarium, up to the top of the tank. 12 ft (c) A tank in the shape of a wedge (see the illustration at right) is filled with water. Find the work needed to pump all the water out through the spicket shown. (d) A tank in the shape of a sphere (see the illustration at right) is filled with water. Find the work needed to pump all the water out through the spicket shown. T 1 T10R Im m

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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2. These problems deal with pumping water out of a tank. Use the fact that the density of water is 9800 N/m³ in metric units and 62.5 lb/ft³ in Imperial units. Assume for each problem, we only need pump the water up to the top of the tank (or the top of the spicket if it has one) where it will flow out on its own from there. (a) A circular tank has a radius of 3 feet and is 5 feet tall. If the tank is filled with water, how much work is required to pump all the water out? (b) An aquarium is 10 m long, 9 m wide and 6 m deep. The water is filled up to the 5 m mark. Find the work needed to pump all the water out of the aquarium, up to the top of the tank. 12 ft- (c) A tank in the shape of a wedge (see the illustration at right) is filled with water. Find the work needed to pump all the water out through the spicket shown. (d) A tank in the shape of a sphere (see the illustration at right) is filled with water. Find the work needed to pump all the water out through the spicket shown. T 1 100_ Im m
Transcribed Image Text:2. These problems deal with pumping water out of a tank. Use the fact that the density of water is 9800 N/m³ in metric units and 62.5 lb/ft³ in Imperial units. Assume for each problem, we only need pump the water up to the top of the tank (or the top of the spicket if it has one) where it will flow out on its own from there. (a) A circular tank has a radius of 3 feet and is 5 feet tall. If the tank is filled with water, how much work is required to pump all the water out? (b) An aquarium is 10 m long, 9 m wide and 6 m deep. The water is filled up to the 5 m mark. Find the work needed to pump all the water out of the aquarium, up to the top of the tank. 12 ft- (c) A tank in the shape of a wedge (see the illustration at right) is filled with water. Find the work needed to pump all the water out through the spicket shown. (d) A tank in the shape of a sphere (see the illustration at right) is filled with water. Find the work needed to pump all the water out through the spicket shown. T 1 100_ Im m
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