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 25.12 cubic meters 25.12 cubic meters 75.36 cubic meters 75.36 cubic meters 100.48 cubic meters 100.48 cubic meters 150.72 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 cone is 4 meters, so the radius is half of that, which is 2 meters. The height of the cone is 6 meters.
Plugging these values into the formula, we have:
V = (1/3)(3.14)(2^2)(6)
= (1/3)(3.14)(4)(6)
= (1/3)(12.56)(6)
≈ 25.12 cubic meters
Therefore, the volume of sand needed to fill the mold is approximately 25.12 cubic meters.