1.

The volume of solid generated by revolving about the y-axisthe figure bounded by the parabola y=x^(2)andx=y^(2) is

Answer»

`(21)/(5)pi`
`(24)/(5)pi`
`(2)/(15)pi`
`(5)/(24)pi`

SOLUTION :`V= int _(0)^(1) pi X^(2)dy`

`=|pi int _(0)^(1) (y^(4)-y)dy|`
`=| pi [(y^(5))/(5)-(y^(2))/(2)]_(0)^(1)|`
`=| pi [(1)/(5)-(1)/(3)]|`
`=|(-2pi)/(15)|=(2pi)/(15)`


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