find the volume of the solid object obtained by rotating the

Solution

volume of the solid

V = integral of 2y(y²+y³)dy from 0 to 1

= integral of 2(y³+y⁴)dy from 0 to 1

= 2( y⁴/4 + y⁵/5) from 0 to 1

= 2{( 1⁴/4 + 1⁵/5) - ( 0⁴/4 + 0⁵/5)}