An aquarium 5 m long 4 m wide and 3 m deep is full of water
An aquarium 5 m long, 4 m wide, and 3 m deep is full of water. Find the work needed to pump half of the water out of the aquarium. (Use the fact that the density of water is 1000 kg/m3, and use 9.8 m/s2 for g.)
Solution
If x is the distance the water must be pumped. int 1000 *9.8 *5*4 *x dx from x=0 to 1.5 (half the water is pumped out and it is 3 feet deep) 20,000 *9.8 x^2/2 from 0 to 1.5 (take antiderivative) 220,500 J
