Question

what is the volume of a hemisphere with a radius of 10 ft

Answer 1

the volume should be somewhere around 261.66 ft

Answer 2

It's half of that of a sphere:
\[V = \frac{4 \pi r^3}{3} / 2 = \frac{2 \pi r^3}{3}\]
Insert r = 10 ft:
\[V = \frac{2 \pi (10 \text{ ft})^3}{3} = \frac{2000\pi}{3} \text{ ft}^3\]
We got different results, @TechnicianExpert.