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 pi
To calculate the volume of a cone, we use the formula:
Volume = (1/3) * π * r^2 * h
First, we need to find the radius. The diameter is given as 4 meters, so the radius is half of that:
Radius = 4 / 2 = 2 meters
Using the given height of 6 meters, we can now calculate the volume:
Volume = (1/3) * 3.14 * 2^2 * 6
= (1/3) * 3.14 * 4 * 6
= (1/3) * 3.14 * 24
≈ 25.13 cubic meters
Therefore, approximately 25.13 cubic meters of sand is needed to fill the mold.