Question

The volume of this cone is 932.58 cubic meters. What is the height of this cone?

Answer 1

178.79

Explanation:

Answer 2

The height of the cone is approximately 9 meters.

The formula for the volume (V) of a cone is given by:

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

where r is the radius of the base and h is the height.

Given that the volume V is 932.58 cubic meters, we can rearrange the formula to solve for h:

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

Since the problem doesn't provide the radius r, we cannot calculate the exact height. However, if the cone is assumed to have a radius of 1 meter (as it's not provided), you can substitute the values into the formula:

`\[ h = (3 * 932.58)/(3.14 * 1^2) \]`

Simplifying this gives:

`\[ h \approx 9 \, \text{meters} \]`

Therefore, under the assumption of a radius of 1 meter, the height of the cone is approximately 9 meters.