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
100.48 cubic meters
150.72 cubic meters
25.12 cubic meters
explain which is correct
The volume of a cone can be calculated using the formula V = 1/3 * π * r^2 * h, where r is the radius and h is the height.
Given that the diameter of the cone is 4 meters, the radius would be half of the diameter, which is 2 meters.
Plugging in the values, we get V = 1/3 * 3.14 * 2^2 * 6 = 1/3 * 3.14 * 4 * 6 = 1/3 * 75.36 = 25.12 cubic meters.
Therefore, the correct answer is 25.12 cubic meters.