Cone A2V

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

Calculate the volume of a cone.

Correct answer:

V =  881.1 cm3

Step-by-step explanation:

A=126⋅ 180π​=126⋅ 1803.1416​≐2.1991 rad S=415 cm2  S = π s2 ⋅  A / (2π)  s=2⋅ S/A​=2⋅ 415/2.1991​≐19.4274 cm r=A⋅ s/(2π)=2.1991⋅ 19.4274/(2⋅ 3.1416)≐6.7996 cm h=s2−r2​=19.42742−6.79962​≐18.1986 cm  V=31​⋅ π⋅ r2⋅ h=31​⋅ 3.1416⋅ 6.79962⋅ 18.1986=881.1 cm3

Try another example


Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
See also our right triangle calculator.
Tip: Our volume units converter will help you convert volume units.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:

Units of physical quantities:

Grade of the word problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: