Question 2 The trough below is full of water. Recall that water has weight density 62.4 lb/ft³. 2 ft 5 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/m³ and the tank is full. Calculate the work required to pump all the gasoline to ground level.

Question 2 The trough below is full of water. Recall that water has weight density 62.4 lb/ft³. 2 ft 5 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/m³ and the tank is full. Calculate the work required to pump all the gasoline to ground level.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...

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