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)
The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius and h is the height.
In this case, the diameter is 4 meters, so the radius is half of that, which is 2 meters.
Plugging in the values, we have V = (1/3)(3.14)(2^2)(6).
Simplifying this expression gives V = (1/3)(3.14)(4)(6), which is equal to 25.12 cubic meters.
Therefore, the volume of sand needed to fill the mold is 25.12 cubic meters.