Question

The formula for finding the volume of a cone is V = 1 3 πr2h. The volume of a cone is 300 cm3 and the height of the cone is 10 cm. What is the approximate radius of the cone?

Answer 1

make it easier and solve for radius
V=(1/3)hpir²
times both sides by 3/1
3V=hpir²
divide both sides by hpi

`(3V)/(h \pi ) =r^2`
sqrt both sides

`\sqrt{(3V)/(h \pi )}=r`



so
v=300
h=10
subsitute


`\sqrt{(3(300))/(10 \pi )}=r`

`\sqrt{(900)/(10 \pi )}=r`

`\sqrt{(90)/(\pi )}=r`

`(√(90))/(√(\pi) )=r`
use calculator
about 5.35257cm=radius