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 meters
25.12 cubic meters
150.72 cubic meters
150.72 cubic meters
100.48 cubic meters
25.12 cubic meters
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height. In this case, the diameter of the base of the cone is 4 meters, so the radius is half of that, which is 2 meters. Plugging in the values, we get V = (1/3)(3.14)(2)^2(6) = 25.12 cubic meters.