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

Question

.(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

Answer 1

To find the volume of a cone, you can use the formula V = (1/3)πr^2h, where r is the radius and h is the height.

In this case, the diameter is given as 4 meters, so the radius would be half of that, which is 2 meters.

Using the formula, the volume would be:
V = (1/3) * 3.14 * 2^2 * 6
V = (1/3) * 3.14 * 4 * 6
V = (1/3) * 3.14 * 24
V = (3.14 * 24)/3
V = 75.36 cubic meters

Therefore, 75.36 cubic meters of sand is needed to fill the mold.