The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius of the base of the cone and h is the height of the cone.
In this case, the diameter of the base is 4 meters, so the radius is half of that, or 2 meters. The height is given as 6 meters.
Plugging these values into the formula:
V = (1/3)π(2^2)(6)
= (1/3)π(4)(6)
= (1/3)π(24)
= (8)π
≈ 25.12 cubic meters
Therefore, the correct answer is 25.12 cubic meters.
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 point)
Responses
150.72 cubic meters
150.72 cubic meters
100.48 cubic meters
100.48 cubic meters
25.12 cubic meters
25.12 cubic meters
75.36 cubic meters
1 answer