A parallelogram with sides $8$ and $6$ and angle of $30^\circ$ between them is rotated around its larger side

Question

A parallelogram with sides $8$ and $6$ and angle of $30^\circ$ between them is rotated around its larger side. Find the volume of the formed solid.

I really can't imagine what we'll get. This is what I was able to draw as a diagram, but I really can't imagine it in my head.

We can find the height $DH$ of the parallelogram which is $DH=\dfrac12AD=3$

Answer 1

It is the same as the volume of the cylinder (pull the cone off from one side and push it into the other side). So: $$8\cdot\pi3^2.$$