Question

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

Answer 1

Answer:

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

Step-by-step 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:

$\displaystyle V=\frac{1}{3}\pi r^2h$

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:

$\displaystyle V=\frac{1}{3}\pi (7)^2(15)$

Use a calculator:

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

The volume of the cone is approximately 769.7 cubic inches.