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 pi.
The radius of the cone can be calculated by dividing the diameter by 2:
radius = 4 meters / 2 = 2 meters
Now, we can use the formula for the volume of a cone to find the volume of sand needed to fill the mold:
Volume = (1/3) * π * r^2 * h
Plugging in the values given:
Volume = (1/3) * 3.14 * (2 meters)^2 * 6 meters
Volume = (1/3) * 3.14 * 4 square meters * 6 meters
Volume = (1/3) * 3.14 * 24 square meters
Volume = (1/3) * 75.36
Volume ≈ 25.12 cubic meters
Therefore, approximately 25.12 cubic meters of sand is needed to fill the mold.