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.

Answer 1

The radius of the cone can be calculated by dividing the diameter by 2: 4 meters / 2 =<<4/2=2>>2 meters.

The volume of a cone is given by the formula: V = (1/3) * pi * r^2 * h.

Using the given values, the volume is: V = (1/3) * 3.14 * 2^2 * 6.

Simplifying this calculation: V = (1/3) * 3.14 * 4 * 6 = (1/3) * 3.14 * 24 = 25.12 cubic meters.

Therefore, 25.12 cubic meters of sand are needed to fill the mold.