The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height.
In this case, the diameter of the cone is 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)π(2²)(6).
V = (1/3)π(4)(6).
V = (1/3)(3.14)(24).
V = 3.14(8).
V = 25.12 cubic meters.
Therefore, the volume of sand needed to fill the mold is 25.12 cubic meters.
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
100.48 cubic meters
100.48 cubic meters
75.36 cubic meters
75.36 cubic meters
150.72 cubic meters
150.72 cubic meters
25.12 cubic meters
1 answer