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anonymous
 5 years ago
water in a cylinder if height 10 ft and radius 4 ft is to be pumped out? find the work required if:
1) the tank is full of water and the water is to pumped over the top of the tank.
2) the tank is full of water and the water must be pumped to the height 5ft above the top of the tank
3)the depth of the water in the tank is 8 ft and the water must be pumped over the top of the tank
anonymous
 5 years ago
water in a cylinder if height 10 ft and radius 4 ft is to be pumped out? find the work required if: 1) the tank is full of water and the water is to pumped over the top of the tank. 2) the tank is full of water and the water must be pumped to the height 5ft above the top of the tank 3)the depth of the water in the tank is 8 ft and the water must be pumped over the top of the tank

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0nath, you need to know that the work W=FS=GS=mgh here.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the main issue im having with this problem is part and 3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i need help with the set up of these two problems

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you see, in part 2, the water at the upmost has to go up for 5ft, the water at the bottom has to go up 15ft. then you can use calculus here.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so what the second part the distance varies from part 3 but what is the limits of integration

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the area of the bottom of the tank is S=πr^2=16π ft^2; H(h) is the height H that the water at h above the bottom of the tank has to go up. in part 2, H(h)=15h. ∫(0, 10)H(h)dx = ∫(0, 10)(15h)dx =∫(0, 10)(15hh^2/2)dx = 100 m^2. W=DgS*∫(0, 10)H(h)dx/h=1000*9.8*16π*100/10≈4.924*10^6J.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i'm sorry, i made a mistake. S=16π ft^2= 4.667m^2. W=DgS*∫(0, 10)H(h)dx/h=1000*9.8*4.667*100/10≈4.6*10^5J
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