In my calculus class, I chose to doa project on finding the area inside a polar curve and then revolving the curve around the x-axis in order to find the surface area and the volume of the solid. Unfortunately, I got stuck on converting r=2.5sin(3θ) into Cartesian form. Is this possible and if so how is it done?
You can either convert it because you know the cartesian equation of the circle matheagle described, or you can use the formula below
These can be used to convert any polar coordinates to cartesian coordinates , but it looks messy....id work out the equation of the circle instead.
a single "petal", or is the whole thing to be rotated about the x-axis?
for the volume, you might consider Pappus's Centroid Theorem -- from Wolfram MathWorld