Find the volume of a right circular cone that has a height of 9 m and a base with a circumference of 3.3 m.

Answer 1

Do not convert π until the end. See what cancels out first. Begin with the given equation and carefully follow step by step what the substitutions are. Note that you must find the radius, r, with the circumference equation. And do not lose site of the units.

volume = (1/3) · π · r² · h Circumference = (2πr) , C=3.3 meters, r= 3.3/ (2π) Height or h= 9 meters

V = (1/3) · π (3.3/ 2π)² (9)

V = (1/3) π(10.89 / 4π²) (9), if 1/3 *9=3 and π/π =1 then

then V = 3(10.89/4π)

V= 3 * 8.55

V= 25.66m³