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Work to Pump Fluids
Worksheet
Grade Level
Calculus II
CAL2.73 Work to Pump Fluids
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A vertical frustum has height 6 ft, bottom radius 1 ft, and top radius 4 ft. It is filled with saltwater of weight density 64 lb/ft
3
and pumped to y = 7. Which option correctly identifies the slice volume dV, lifting distance D(y), and density δ?
A
dV = π(1 + y/2) dy, D(y) = 7 - y, δ = 64
B
dV = π(1 + y/2)
2
dy, D(y) = 7 - y, δ = 64
C
dV = π(4 - y/2)
2
dy, D(y) = 7 - y, δ = 64
D
dV = π(1 + y/2)
2
dy, D(y) = 6 - y, δ = 62.4
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