Learning Target IA3: I can set up and use integrals to solve applied work problems.1. A fuel storage tank is the shape of an upright, right-circular-cylinder with a base radius of 6ft, and aheight of 12ft is filled up to 9ft with jet fuel, which weighs approximately 50.57 pounds per cubic foot.Find the amount of work required to pump all of the fuel out the top of the tank.

Here, radius of base of the cylinder (r) = 6 ft Total height of the cylinder is 12 ft. But, the…

Answered: ning larget IA3: I can set up and use…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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17. A fuel tank is being designed to contain 200 m3 of gasoline, but the maximum length of a tank (measured from the tips of each hemisphere) that can be safely transported to clients is 16 m long. The design of the tank calls for a cylindrical part in the middle, with hemispheres at each end. If the hemispheres are twice as expensive per unit area as the cylindrical part, find the radius and height of the cylindrical part so the cost of manufacturing the tank will be minimal. Give your answers correct to the nearest centimetre.
We want to build a cylindrical tank with a volume of 216 m^3. The tank has no lid and the material used for the bottom costs twice as much as that used for the side wall. Determine the radius and height that minimizes construction costs.Info: U＝pir^2 hArea without cover = pir^2 + 2pirhC = Cost
A vertical right circular cylindrical tank measures 21 feet high and has a 10 foot diameter. It is full of oil weighing 61.7 lb ft 3. a) Set up the work integral [clean up to just before integrating] showing how much work (in ft-lb) it takes to pump the oil to the level of the top of the tank (to empty the tank). b) Evaluate the answer from part a. Round your answer to the nearest whole ft-lb.
We want to build a cylindrical tank with a volume of 216 m^3. The tank has no lid and the material used for the bottom costs twice as much as that used for the side wall. Determine the radius and height that minimizes construction costs.Info: U＝pir^2 hArea without cover = pir^2 + 2pirhC = Cost

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