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)
○ 25.12 cubic meters
○ 75.36 cubic meters
O 150.72 cubic meters
○ 100.48 cubic meters
To calculate the volume of a cone, you use the formula 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 is half of that, which is 2 meters.
V = (1/3)(3.14)(2^2)(6)
V = (1/3)(3.14)(4)(6)
V = (1/3)(3.14)(24)
V = 25.12 cubic meters
Therefore, the correct answer is:
○ 25.12 cubic meters