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 π .(1 point)
The formula for the volume of a cone is V = (1/3) * π * r^2 * h, where r is the radius and h is the height of the cone.
Given that the diameter is 4 meters, the radius is half of that, which is 4/2 = 2 meters.
Substituting this into the formula, the volume of sand needed is V = (1/3) * 3.14 * 2^2 * 6.
Calculating this, V = (1/3) * 3.14 * 4 * 6 = (1/3) * 3.14 * 24 = 8 * 3.14 = 25.12 cubic meters.
Therefore, approximately 25.12 cubic meters of sand is needed to fill the mold.