GATE ME 2019 Set 1 — Question 12
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Engineering Mathematics → Single Variable Calculus → Applications of Integrals
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Question
A parabola with is shown in the figure. The volume of the solid of rotation obtained by rotating the shaded area by around the -axis is

Correct answer
(B) (π)/(2)
Solution
The volume of the solid of rotation obtained by rotating a curve about the -axis from to is given by:Given the parabola , we have . The limits for are .
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