Question #204093

Find the volume of the solid generated by revolving about the x-axis bounded by the curve, y2 = 9x and the line y = 3x

Expert's answer

R.E.F image

"y=3x"

"y^\n2\n =ax ^\n2"

"ax=ax ^\n2"

"x=0,x=1"

Area bounded " =\u222b _\n0^\n1\n\u200b\n (3\\sqrt{ \nx}\n\u200b\n \u22123x)dx"

"=[ \\frac{32x ^{3\/2}}{3} \u2212 \\frac{3x^2}{2}] _0^\n1\n\u200b\n"

"=2\u2212 \\frac{3}{2} =1\/2 sq.units "

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Kabir08.06.21, 14:25Thank you so much.

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