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 symbol)
First, we need to find the radius of the cone. The formula for the radius is:
radius = diameter / 2
Plugging in the given diameter of 4 meters, we have:
radius = 4 meters / 2 = 2 meters
Next, we can use the formula for the volume of a cone:
volume = (1/3) * pi * radius^2 * height
Plugging in the radius of 2 meters and the height of 6 meters, and using the value of pi as 3.14, we have:
volume = (1/3) * 3.14 * 2^2 * 6 = (1/3) * 3.14 * 4 * 6 = 25.12 cubic meters
So, approximately 25.12 cubic meters of sand is needed to fill the mold.