Cone A2V

The cone's surface in the plane is a circular arc with a central angle of 126° and area 415 cm2.

Calculate the volume of a cone.

Correct answer:

V =  881.1 cm3

Step-by-step explanation:

A=126 180π=126 1803.14162.1991 rad S=415 cm2  S = π s2   A / (2π)  s=2 S/A=2 415/2.199119.4274 cm r=A s/(2π)=2.1991 19.4274/(2 3.1416)6.7996 cm h=s2r2=19.427426.7996218.1986 cm  V=31 π r2 h=31 3.1416 6.79962 18.1986=881.1 cm3

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