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

150.72 cubic meters
150.72 cubic meters

75.36 cubic meters
75.36 cubic meters

100.48 cubic meters

1 answer

To find the volume of a cone, we use the formula V = (1/3)πr²h, where r is the radius and h is the height.

Given that the diameter is 4 meters, the radius is half of that, which is 2 meters.

Plugging in the values, the volume V = (1/3)(3.14)(2²)(6).

Simplifying the equation, V = (1/3)(3.14)(4)(6) = 25.12 cubic meters.

Therefore, the correct answer is 25.12 cubic meters.