Find the Volume of the Solid Obtained by Rotating the Region

question 15

Short Answer

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. $y=3\left(x^{2}+4\right), y=3\left(12-x^{2}\right) ; \text { about } y=-3$

---

Definitions:

St. John's Wort

An herbal plant traditionally used in the treatment of mild to moderate depression, anxiety, and sleep disorders.

Herbal Preparation

A process or product involving herbs used for their flavor, scent, medicinal, or therapeutic properties.

Manual Therapies

Therapeutic techniques that involve physical manipulation of muscle tissue and bones by a practitioner.