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

150.72 cubic meters
150.72 cubic meters

75.36 cubic meters
75.36 cubic meters

25.12 cubic meters

1 answer

The formula for finding the volume of a cone is V = πr^2h/3, where r is the radius of the base and h is the height. In this case, the diameter is 4 meters, so the radius is half of that, which is 2 meters. The height is 6 meters.

Now, plug in the values into the formula:

V = 3.14 * 2^2 * 6 / 3
V = 3.14 * 4 * 6 / 3
V = 75.36 cubic meters

Therefore, the correct answer is 75.36 cubic meters.