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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Triangle Bounded by the Lines y = 0, y = x and x = 4 is Revolved About the X-axis. Find the Volume of The Solid of Revolution. - Mathematics and Statistics

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प्रश्न

triangle bounded by the lines y = 0, y = x and x = 4 is revolved about the X-axis. Find the volume of the solid of revolution.

उत्तर

Given line is y = x

`V=piint_0^4 y^2dx`

`=pi int_0^4x^2dx`

`=pi/3[x^3]_0^4`

`=(64pi)/3 cubic units.`

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2012-2013 (March)

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