Can someone show me how to do this? Answer is supposed to be around 88,200pi jou
ID: 1434962 • Letter: C
Question
Can someone show me how to do this? Answer is supposed to be around 88,200pi joules
The portion of the graph y = x^2 between x = 0 and x = 2 is rotated around the y-axis to form a container. The container is partially filled with water, up to the level y = 3. Find the work required to pump all of the water out over the top of the side of the container. Give your answer (in joules = kg.m/s^2. m) in exact form. (Distance is measured in meters, the density of water is 1000 kg/m^3, and use 9.8 m/s^2 for the acceleration g due to gravity.)Explanation / Answer
Volume of water in container, V= pi*r^2*h=3.14*2*2*3/3=37.68/3 m^3=12.56 m^3
density of water=1000 kg/m^3
Mass= Density*volume =1000*12.56=12560 kg
Workdone=mg =12560*9.8 =123088 J