First Pappus-Guldinus Theorem

Theorem
Let $C$ be a plane figure that lies entirely on one side of a straight line $L$.

Let $S$ be the solid of revolution generated by $C$ around $L$.

Then the volume of $S$ is equal to the area of $C$ multiplied by the distance travelled by the centroid of $C$ around $L$ when generating $S$.

Also known as
This result is also known as:
 * Pappus's Centroid Theorem for Volume
 * the First Guldinus Theorem.

Also see

 * Second Pappus-Guldinus Theorem