An oil storage tank can be described as the volume generated by revolving the area bounded by y = 36 144 + x2, x = 0, y = 0, x = 3 about the x-axis. Find the volume of the tank (in cubic meters). (Round your answer to one decimal place.)

An oil storage tank can be described as the volume generated by revolving the area bounded by y = 36 144 + x2, x = 0, y = 0, x = 3 about the x-axis. Find the volume of the tank (in cubic meters). (Round your answer to one decimal place.)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 22CR

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Question

An oil storage tank can be described as the volume generated by revolving the area bounded by

y =

144 + x²

x = 0,

y = 0,

x = 3

about the x-axis. Find the volume of the tank (in cubic meters). (Round your answer to one decimal place.)

Expert Solution

Step 1

This is a question related to integration. Here we will use the general formula of integration for calculating the volume generates by solid revolution about x axis.

Answer = 83.1 cubic meters

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