A sandcastle mold is in the shape of a cone, with a diameter of 4 meters and a height of 6 meters. What volume of sand is needed to fill the mold? Use 3.14 for .

Answer 1

The formula for the volume of a cone is V = 1/3 * π * r^2 * h, where r is the radius of the cone and h is the height.

In this case, the diameter of the cone is 4 meters, so the radius is half of the diameter, which is 4/2 = 2 meters.

Substituting the values into the formula, we get V = 1/3 * 3.14 * (2^2) * 6.

Calculating 2^2 = 4, we get V = 1/3 * 3.14 * 4 * 6.

Multiplying 4 * 6 = 24, we get V = 1/3 * 3.14 * 24.

Multiplying 3.14 * 24 = 75.36, we get V = 1/3 * 75.36.

Dividing 75.36 by 3, we get V ≈ 25.12.

Therefore, approximately 25.12 cubic meters of sand is needed to fill the mold.