Question

Find the volume of a right circular cone that has a height of 9.6m and a base with a diameter of 2.9m. Round your answer to the nearest tenth of a cubic meter.

Answer 1

`r = (D)/(2)= (2.9m)/(2)= 1.45 m`

If we convert the height to meters like this:

`h = 9.6 cm *(1m)/(100 cm)= 0.096m`

And we want to find the volume of the cone and is given by:

`V = \pi r^2 h`

And replacing we got:

`V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3`

Explanation:

For this case we have a right circular cone with a height of 9.6cm and a base with a diameter of 2.9m. We can find the radius like this:

`r = (D)/(2)= (2.9m)/(2)= 1.45 m`

If we convert the height to meters like this:

`h = 9.6 cm *(1m)/(100 cm)= 0.096m`

And we want to find the volume of the cone and is given by:

`V = \pi r^2 h`

And replacing we got:

`V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3`