Find the volume of a right circular cone that has a height of 9 m and a base with a circumference of 19.6 m. Round your answer to the nearest tenth of a cubic meter.

V = 91.70 cubic meters

Step-by-step explanation:

The volume of a right circular cone

V = πr^2h/3

V - volume of the cone

π - pie

r - radius of the cone

h - height of the cone

Given

h - 9m

Circumference = 19.6m

Find radius

Circumference = 2πr

r = c/2π

c - 19.6

π - 3.142

r = 19.6 / 2*3.142

= 19.6/6.284

= 3.119m

Using the volume of a right circular cone

V = πr2h/3

V = 3.142 * 3.119^2 * 9/3

= 3.142 * 9.728 * 3

= 91.6976 cubic meter

Rounding to the nearest tenth cubic meter

V = 91.70 cubic meters

91.7 m³

Step-by-step explanation:

V = 1/3 πr²h

2πr = 19.6

r = 19.6 / (2 x 3.14) = 3.12

V = 1/3 x 3.14 x 3.12² x 9 = 91.7