(a) How much work is done to fill the tank to a depth of 1 feet? 47.82 ft-lb (b) How much work is done to fill the tank from a depth of 5 feet to a depth of 6 feet? 390 ft-lb

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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An open tank has the shape of a right circular cone (see figure). The tank is 8 feet across the top and 6 feet high. Water is pumped in through the bottom of the tank. (The
water weighs 62.4 lb per cubic foot.)
Ay
-4 5
(a) How much work is done to fill the tank to a depth of 1 feet?
47.82
ft-lb
(b) How much work is done to fill the tank from a depth of 5 feet to a depth of 6 feet?
390
ft-lb
Transcribed Image Text:An open tank has the shape of a right circular cone (see figure). The tank is 8 feet across the top and 6 feet high. Water is pumped in through the bottom of the tank. (The water weighs 62.4 lb per cubic foot.) Ay -4 5 (a) How much work is done to fill the tank to a depth of 1 feet? 47.82 ft-lb (b) How much work is done to fill the tank from a depth of 5 feet to a depth of 6 feet? 390 ft-lb
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