Find the volume of a right circular cone that has a height of 12.1 m and a base with a circumference of 17.7 m. round your answer to the nearest tenth of a cubic meter.

The volume of a right circular cone is

.

If a circumference of a base circle is 17.7 m, then using formula for circumference of a circle, you can find the radius:

.

Then the volume is:

.

Step-by-step explanation:

The volume of a cone is defined as:

So, a cone has a circular base, and its area is:

Replacing this relation in the volume equation:

Now, the problem gives us the height but no the radius, instead it gives the circumference length, which we can use to find the radius:

Then, we use this radius to find the volume:

Using :

Therefore, the volume is

594 square inches

step-by-step explanation:

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