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Question

The volume of solid generated by revolving about the y-axis the figure bounded by the parabola y=x2 and x=y2 is

A
215π
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B
245π
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C
215π
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D
524π
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Solution

The correct option is D 215π
V=10πx2dy
=π10(y4y)dy
=∣ ∣π[y55y22]10∣ ∣
=π[1513]
=2π15
=2π15
1046488_459753_ans_fed65756a5f14f3eb2bf3701eb5ab60e.jpg

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