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