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 25.12 cubic meters 25.12 cubic meters 150.72 cubic meters 150.72 cubic meters 75.36 cubic meters 75.36 cubic meters 100.48 cubic meters
The formula to calculate the volume of a cone is V = πr^2h/3, where r is the radius of the base of the cone and h is the height.
Given that the diameter of the cone is 4 meters, the radius is half of the diameter, so r = 2 meters. The height is given as 6 meters.
Substitute the values into the formula:
V = 3.14 x (2)^2 x 6 / 3
V = 3.14 x 4 x 6 / 3
V = 75.36 cubic meters
Therefore, 75.36 cubic meters of sand are needed to fill the mold.