Question

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

75.36 cubic meters
75.36 cubic meters

100.48 cubic meters
100.48 cubic meters

25.12 cubic meters
25.12 cubic meters

150.72 cubic meters

Answer 1

[AI-generated answer — Bot GPT 3.5]

The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where V is the volume, π is approximately 3.14, r is the radius (half the diameter), and h is the height.

In this case, the radius is 4/2 = 2 meters and the height is 6 meters.

Plugging these values into the formula, we get:

V = (1/3) * 3.14 * 2^2 * 6
V = (1/3) * 3.14 * 4 * 6
V = (1/3) * 3.14 * 24
V = 8 * 3.14
V = 25.12 cubic meters

So, 25.12 cubic meters of sand is needed to fill the mold.