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

Question

.(1 point)
Responses

75.36 cubic meters
75.36 cubic meters

25.12 cubic meters
25.12 cubic meters

100.48 cubic meters
100.48 cubic meters

150.72 cubic meters
150.72 cubic meters

Answer 1

To find the volume of the sandcastle mold, we need to use the formula for the volume of a cone: V = (1/3)πr^2h.

First, we need to find the radius (r) of the cone. The diameter is given as 4 meters, so the radius is half of that: r = 4/2 = 2 meters.

Next, we substitute the values into the formula: V = (1/3)(3.14)(2^2)(6).
V = (1/3)(3.14)(4)(6).
V = 12.56(6).
V = 75.36 cubic meters.

Therefore, the volume of sand needed to fill the mold is 75.36 cubic meters.