Question 1 A 5 m chain with density 2 kg/m hangs off the roof of a building. How much work is required to pull the chain to the roof? Question 2 The trough below is full of water. Recall that water has weight density 62.4 lb/ft. 5 ft 2 ft 8 ft (a) Calculate the work required to pump the water to the level of the top of the trough. (b) Write a definite integral that calculates the work required to pump the water out of a spout 2 ft above the top of the trough. (c) Write a definite integral that calculates the work required to pump the water out of a spout 2 ft above the top of the trough, now assuming that the trough is only filled to a depth of 2 feet. Question 3 A gas station has a cylindrical tank lying horizontally underground. The tank is 15 m long, has radius 3 m, and the highest part of the tank is 3 m underground. Gasoline has a density of 748.9 kg/m and the tank is full. Calculate the work required to pump all the gasoline to ground level.