Question

(a) Mary and Cynthia were building a cone-shaped sand castle. After some time, the diameter of

the sand shaped cone was 14 in. and the height was 15 in. What is the appoximate volume of the
sand cone rounded to the nearest tenth? (Show work!!) PLEASE HELP!

Answer 1

`\displaystyle V\approx 769.7\text{ in}^3`

Explanation:

We are given that the diameter of the sand-shaped cone is 14 inches, and the height is 15 inches.

The volume for a cone is given by:

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

Where r is the radius and h is the height.

Since the diameter is 14, the radius is 7.

And we are given that the height is 15.

Therefore, the volume will be:

`\displaystyle V=(1)/(3)\pi (7)^2(15)`

Use a calculator:

`\displaystyle V\approx 769.7\text{ in}^3`

The volume of the cone is approximately 769.7 cubic inches.