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

25.12 cubic meters
25.12 cubic meters

75.36 cubic meters
75.36 cubic meters

100.48 cubic meters
100.48 cubic meters

1 answer

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

Given that the diameter is 4 meters, the radius (r) would be half of the diameter, so r = 2 meters.

Plugging in the values, V = (1/3)(3.14)(2^2)(6) = (1/3)(3.14)(4)(6) = (1/3)(3.14)(24) = 25.12 cubic meters.

Therefore, the volume of sand needed to fill the mold is 25.12 cubic meters.

The correct response is:
25.12 cubic meters