Question

9 mVolume = 75 n mm3RadiusG

Answer 1

we know that

The volume of a cone is equal to

`V=(1)/(3)\cdot\pi\cdot r^2\cdot h`

In this problem

we have

V=75pi mm^3

h=9 m------> convert to mm

h=9,000 mm

substitute in the given equation

`\begin{gathered} 75\cdot\pi=(1)/(3)\cdot\pi\cdot r^2\cdot9,000 \\ \text{simplify} \\ 75=r^2\cdot3,000 \\ r^2=(75)/(3,000) \\ \\ r^2=(1)/(40) \\ \\ r=\frac{1}{\sqrt[\square]{40}} \\ \\ r=\frac{\sqrt[\square]{40}}{40} \\ \text{simplify} \\ r=\frac{2\sqrt[\square]{10}}{40} \\ \end{gathered}`
`r=\frac{\sqrt[\square]{10}}{20}\text{ mm}`