make it easier and solve for radius
V=(1/3)hpir²
times both sides by 3/1
3V=hpir²
divide both sides by hpi
\(\frac{3V}{h \pi } =r^2\)
sqrt both sides
\(\sqrt{\frac{3V}{h \pi }}=r\)
so
v=300
h=10
subsitute
\(\sqrt{\frac{3(300)}{10 \pi }}=r\)
\(\sqrt{\frac{900}{10 \pi }}=r\)
\(\sqrt{\frac{90}{\pi }}=r\)
\(\frac{\sqrt{90}}{\sqrt{\pi} }=r\)
use calculator
about 5.35257cm=radius