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 n. (1 point)
150.72 cubic meters
• 100.48 cubic meters
• 75.36 cubic meters
25.12 cubic meters
The formula to calculate the volume of a cone is V = (1/3)πr²h, where r is the radius and h is the height.
Given that the diameter of the cone is 4 meters, the radius is half of that, which is 2 meters.
Plugging in the values, we get V = (1/3)π(2²)(6) = (1/3)π(4)(6) = (1/3)(3.14)(4)(6) = 25.12 cubic meters.
Therefore, the volume of sand needed to fill the mold is 25.12 cubic meters.