Question

Find the volume of a right circular cone that has a height of 12.2 cm and a base with a circumference of 18.5 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answer 1

We have been given that a right circular cone has a height of 12.2 cm and a base with a circumference of 18.5 cm. We are asked to find the volume of the cone to nearest tenth.

We know that circumference of circle is equal to
`2\pi r`.

`2\pi r=18.5`

`r=(18.5)/(2\pi)`

`r=2.944366`

Now we will use volume of the cone formula to solve our given problem.

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

`V=(1)/(3)\pi (2.944366)^2\cdot (12.2)`

`V=(1)/(3)\pi (8.669291141956)\cdot (12.2)`

`V=(1)/(3)\pi (105.7653519318632)`

`V=(1)/(3)(332.2716526334804752)`

`V=110.7572175`

Upon rounding to nearest tenth, we will get:

`V\approx 110.8`

Therefore, the volume of the given cube would be approximately 110.8 cubic centimeter.