Answer:
(a). The integral is
(b). The integral is
Step-by-step explanation:
Given that,
Radius = 13 ft
Depth = 11 ft
Weight of water = 62.5 lb/ft³
(a). The origin is at the top of the tank with positive y variables going down.
We need to calculate the volume of the strip
Using formula of volume
Put the value into the formula
We need to calculate the mass of the strip
Using formula of mass
Put the value into the formula
We need to calculate the work done to pump the water out of the spout
Using formula of work done
(b). The origin is at the bottom of the tank with positive y-values going up
We need to calculate the volume of the strip
Using formula of volume
Put the value into the formula
We need to calculate the mass of the strip
Using formula of mass
Put the value into the formula
We need to calculate the work done to pump the water out of the spout
Using formula of work done
Hence, (a). The integral is
(b). The integral is