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)

25.12 cubic meters

100.48 cubic meters

75.36 cubic meters

150.72 cubic meters

Answer 1

Volume of a cone: V = (1/3)πr^2h. Here r = 4/2 = 2, so

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

Answer: 25.12 cubic meters.