1. Consider a cylindrical tank that is standing on its circular base with a radius of 4 meters and a height of 6 meters. Using 9.8m/s² for the acceleration due to gravity and 1,000kg/m³ as the density of water, set up the integral for the work required to pump the wa- ter out of the tank if the tank is half full of water and it is being pumped out of a 0.5-meter long vertical spout at the top of the tank. • A. W = 1000.9.8.π B. W = 1000-9.8.π * 16(6.5 — y) dy √°º 16(6.5 − y) dy 6.5 • C. W = 1000.9.8.π √ 3.5 3 • D. W = 1000 9.8.π 1000-9.8.π E. None of these 16(y+.5) dy 16(y+.5) dy

Mathematics For Machine Technology
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1. Consider a cylindrical tank that is standing on its circular base
with a radius of 4 meters and a height of 6 meters. Using 9.8m/s²
for the acceleration due to gravity and 1,000kg/m³ as the density
of water, set up the integral for the work required to pump
the wa-
ter out of the tank if the tank is half full of water and it is being
pumped out of a 0.5-meter long vertical spout at the top of the
tank.
• A. W = 1000.9.8.π
B. W = 1000-9.8.π
* 16(6.5 — y) dy
√°º 16(6.5 − y) dy
6.5
• C. W = 1000.9.8.π
√
3.5
3
•
D. W = 1000 9.8.π
1000-9.8.π
E. None of these
16(y+.5) dy
16(y+.5) dy
Transcribed Image Text:1. Consider a cylindrical tank that is standing on its circular base with a radius of 4 meters and a height of 6 meters. Using 9.8m/s² for the acceleration due to gravity and 1,000kg/m³ as the density of water, set up the integral for the work required to pump the wa- ter out of the tank if the tank is half full of water and it is being pumped out of a 0.5-meter long vertical spout at the top of the tank. • A. W = 1000.9.8.π B. W = 1000-9.8.π * 16(6.5 — y) dy √°º 16(6.5 − y) dy 6.5 • C. W = 1000.9.8.π √ 3.5 3 • D. W = 1000 9.8.π 1000-9.8.π E. None of these 16(y+.5) dy 16(y+.5) dy
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