There's a solid which is a result of revolution of a rhombus by the axis which is paralell to the shorter diagonal and goes through the end-point of a longer diagonal. Longer diagonal is $\frac2{\sqrt{3}}$, sides are 2 and the angle between diagonals and sides is $60^{\circ}$. Calculate its volume.
I thought of using Pappus-Guldin theorem - area of rhombus multiplied by the perimeter of circle with radius made of longer diagonal. Is this a proper or I should divide it to cones?
P.S: Sorry for my english, I've never written anything related to math in this language until now.