How do I determine the volume of the solid obtained by revolving the curve #r=3sin(theta)# around the polar axis?
Let us look at the polar curve
The above is actually equivalent to the circle with radius
by solving for
By Washer Method, the volume of the solid of revolution can be found by
by simplifying the integrand,
since the integral can be interpreted as the area of semicircle with radus
I hope that this was helpful.