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)Responses 75.36 cubic meters 75.36 cubic meters 25.12 cubic meters25.12 cubic meters150.72 cubic meters150.72 cubic meters100.48 cubic meters
The formula to calculate 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.
Given that the diameter is 4 meters, the radius (r) is half of the diameter, so r = 4/2 = 2 meters.
Now we can plug in the values into the formula:
V = 1/3 * 3.14 * 2^2 * 6
V = 1/3 * 3.14 * 4 * 6
V = 1/3 * 3.14 * 24
V = 3.14 * 8
V = 25.12 cubic meters
Therefore, the volume of sand needed to fill the mold is 25.12 cubic meters.