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
100.48 cubic meters
75.36 cubic meters
25.12 cubic meters
The volume of a cone is calculated using the formula V = 1/3 * π * r^2 * h, where r is the radius and h is the height.
Given:
Diameter = 4 meters
Radius = 4/2 = 2 meters
Height = 6 meters
V = 1/3 * 3.14 * 2^2 * 6
V = 1/3 * 3.14 * 4 * 6
V = 1/3 * 3.14 * 24
V = 25.12 cubic meters
Therefore, the correct answer is 25.12 cubic meters.