QuestionFind the volume $V$ of the described solid $S$. a right circular cone with height $4 h$ and base radius $2 r$

Studdy Solution
Calculate the volume by simplifying the expression:
$$V = \frac{1}{3} \pi (4r^2) (4h)$$ $$= \frac{1}{3} \pi \times 16r^2 \times 4h$$ $$= \frac{1}{3} \times 64 \pi r^2 h$$ $$= \frac{64}{3} \pi r^2 h$$
The volume of the cone is:
$$\boxed{\frac{64}{3} \pi r^2 h}$$