Question

A hemisphere has a diameter of 26 centimeters. What is the volume of a sphere with the same radius?

Answer 1

$r= \frac{d}{2}= \frac{26}{2} \;\Rightarrow r=13\,cm \\ \\ V= \frac{4}{3} \pi r^3 \\ \\ V= \frac{4}{3} \pi \,(13)^3 \\ \\ V= \dfrac{4\cdot 2197}{3} \pi \\ \\ V= \frac{8788}{3} \pi\approx 9202,77\,cm^3$