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
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