Find the volume of a right circular cone that has a height of 5.7 m and a base with a circumference of 2.3 m. Round your answer to the nearest tenth of a cubic meter.

Volume of the cone is approximately 0.8 cubic meters

Step-by-step explanation:

Recall that the volume of a circular cone is defined by:

where R is the radius of the cone's base, and H the cone's height. Since we have the information of the height H (5.7 m) we just need to find the radius R. We can do such by using the other piece of information: the circumference of its base.

The circumference of a circle is the product:

So by knowing the circumference's length (2.3 m)  we can solve for the radius R:

We can now use this result in the formula for the volume:

which can be rounded to the nearest tenth as: