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

Answer:

$r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m$

If we convert the height to meters like this:

$h = 9.6 cm *\frac{1m}{100 cm}= 0.096m$

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

$V = \pi r^2 h$

And replacing we got:

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

Step-by-step 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:

$r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m$

If we convert the height to meters like this:

$h = 9.6 cm *\frac{1m}{100 cm}= 0.096m$

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

$V = \pi r^2 h$

And replacing we got:

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