Question

What is the approximate volume of a cone with a height of 6 mm and radius of 18 mm? Use 3.13 to approximate pi, and express your final answer to the nearest hundredth. Enter your answer as a decimal in the box. __mm^3

Answer 1

`2034.72\:\mathrm{mm^3}`

Explanation:

The volume of a cone is given by
`V=(1)/(3)\cdot r^2\pi\cdot h`, where
`r` is the radius of the cone and
`h` is the height of the cone.

What we're given:

• 
  `r` of 18
• 
  `h` of 6
• Use
  `\pi=3.14`

Substituting given values, we get:

`V=(1)/(3)\cdot 18^2\cdot 3.14\cdot 6=\boxed{2034.72\:\mathrm{mm^3}}`