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प्रश्न
Find by integration, the volume of the solid generated by revolving about the x-axis, the region enclosed by y = 2x2, y = 0 and x = 1
उत्तर
V = `int_"a"^"b" piy^2 "d"x`
= `int_0^1 pi(2x^2)^2 "d"x`
= `4pi int_0^1 x^4 "d"x`
V = `4pi[x^5/5]_0^1`
= `(4pi)/5` cubic units.
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Choose the correct alternative:
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