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.
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
1 answer