Find The Volume Of Solid Generated By Rotating The Area Bounded ...

English0Maharashtra State BoardHSC Commerce (English Medium) 12th Standard Board ExamQuestion PapersQuestion Papers285Textbook Solutions12313MCQ Online Mock Tests99Important Solutions6916Concept Notes & Videos301Time Tables31SyllabusFind the Volume of Solid Generated by Rotating the Area Bounded by X2+Y2 =36 and the Lines X=O, X=3 About X-axis. - Mathematics and Statistics

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Question

Find the volume of solid generated by rotating the area bounded by x2+y2 =36 and the lines x = 0, x = 3 about X -axis.

Sum

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SolutionShow Solution

Given curve is x2+y2=36

∴ y 2 = 36 -x2

Required volume V = `|pi int_0^3 "y"^2 "dy"|`

∴ V = `pi int_0^3 (36 - "x"^2) "dx"`

`= pi [36"x" - "x"^3/3]_0^3`

`= pi {[36(3) - 3^3/3] - 0}`

`= pi (108 - 9)`

∴ V = 99 π cubic units.

shaalaa.comIndefinite Integration - Methods of Integration Report Error Is there an error in this question or solution?Q 3.A.iiiQ 3.A.iiQ 3.B.i2017-2018 (July) Set 1

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