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10.  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.)   m3.

10.  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.)   m3.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

10. 

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.)
  m3.  

Expert Solution
Step 1

Given curve is y=36144+x2 and the lines are x=0, y=0, and x=3.

So, the shaded region is bounded region bounded by the curve and lines,

Advanced Math homework question answer, step 1, image 1

Now, rotating the region about x axis we get the solid.

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