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
To find the volume of the sandcastle mold, we need to use the formula for the volume of a cone:
V = (1/3)πr^2h
First, we need to find the radius of the cone. The diameter is given as 4 meters, so the radius is half of that: r = 4/2 = 2 meters.
Now we can plug the values into the formula:
V = (1/3)(3.14)(2^2)(6) = (1/3)(3.14)(4)(6) = (1/3)(3.14)(24) = 25.12 cubic meters.
Therefore, 25.12 cubic meters of sand is needed to fill the mold.