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
150.72 cubic meters
150.72 cubic meters
75.36 cubic meters
75.36 cubic meters
100.48 cubic meters
100.48 cubic meters
25.12 cubic meters
The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius and h is the height.
In this case, the diameter is given as 4 meters, so the radius is half of that, which is 2 meters.
The height is given as 6 meters.
Substituting these values into the formula, we get V = (1/3)(3.14)(2^2)(6) = 25.12 cubic meters.
Therefore, the correct answer is 25.12 cubic meters.