Find the volume of a right circular cone that has a height of 9.1 m and a base with a circumference of 12.1 m. Round your answer to the nearest tenth of a cubic meter.

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141.22cm 33

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The volume of the cone is 141.2m³³

Step-by-step explanation:

First of all we need to calculate the radius of the base for this we have to use the circumferenc formula of a circle:

c = circumference = 12.1m

r = radius

π = 3.14

c = 2π * r

we replace with the known values

12.1m = 2 * 3.14 * r

12.1m = 6.28 * r

12.1m / 6.28 = r

3.85m = r

The length of the radius is 3.85m

Now we can find the volume of the cone, for this we need to use this formula

v = volume

r = radius = 3.85m

h = height = 9.1m

π = 3.14

v = 1/3 * π * r² * h

we replace with the known values

v = 1/3 * 3.14 * (3.85m) ² * 9.1m

v = 1/3 * 3.14 * 14.82m² * 9.1m

v = 141.156m³

Round to the nearest tenth

v = 141.156m³ = 141.2m³

The volume of the cone is 141.2m³³