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
25.12 cubic meters
25.12 cubic meters
100.48 cubic meters
To find the volume of a cone, you can use the formula V = (1/3)πr^2h, where r is the radius (half the diameter) and h is the height.
In this case, the diameter is 4 meters, so the radius is 2 meters. The height is 6 meters.
Plugging these values into the formula, we get V = (1/3)π(2^2)(6) = (1/3)(3.14)(4)(6) = 100.48 cubic meters.
Therefore, the correct answer is 100.48 cubic meters.