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. 150.72 cubic meters
2. 25.12 cubic meters
3. 75.36 cubic meters
4. 100.48 cubic meters
To find the volume of the sandcastle mold, we can use the formula for the volume of a cone: V = (1/3) * π * r^2 * h, where r is the radius and h is the height.
Given:
- Diameter = 4 meters, so the radius (r) = diameter/2 = 4/2 = 2 meters.
- Height (h) = 6 meters.
- π = 3.14.
Plugging these values into the formula:
V = (1/3) * 3.14 * (2)^2 * 6
V = (1/3) * 3.14 * 4 * 6
V = 0.3333 * 3.14 * 4 * 6
V ≈ 25.12 cubic meters
Thus, the volume of sand needed to fill the mold is approximately 25.12 cubic meters.
Therefore, the correct answer is option 2.