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 .
A. 100.48 cubic meters
B. 75.36 cubic meters
C. 25.12 cubic meters
D. 150.72 cubic meters
The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius and h is the height. Given that the diameter is 4 meters, the radius is half of that, so r = 2 meters. Plugging in the values, we get:
V = (1/3)(3.14)(2²)(6)
= (1/3)(3.14)(4)(6)
= (1/3)(3.14)(24)
= 25.12
Therefore, the volume of sand needed to fill the mold is 25.12 cubic meters. The correct answer is C.