Answer to Question #204093 in Electrical Engineering for Kabir

Question

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

Answer 1

R.E.F image

$y=3x$

$y^ 2 =ax ^ 2$

$ax=ax ^ 2$

$x=0,x=1$

Area bounded $=∫ _ 0^ 1 ​ (3\sqrt{ x} ​ −3x)dx$

$=[ \frac{32x ^{3/2}}{3} − \frac{3x^2}{2}] _0^ 1 ​$

$=2− \frac{3}{2} =1/2 sq.units$