Question
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
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius of the base and h is the height. In this case, the diameter is 4 meters, so the radius would be half of that, which is 2 meters.
V = (1/3)(3.14)(2^2)(6) = 150.72 cubic meters
Therefore, the volume of sand needed to fill the mold is 150.72 cubic meters.
Correct response: 150.72 cubic meters