How To Find The Radius Of A Cone

A cone is a three-dimensional object with a circular base. As the cone grows upward, the size of the circle lessens until it becomes a single point at the top of the cone. A radius is the distance from the circle's middle to its perimeter, which is known as its circumference. The radius of a cone is the radius of its circular base. You can find a radius through its volume and height.

Step 1

Multiply the volume by 3. For example, the volume is 20. Multiplying 20 by 3 equals 60.

Step 2

Multiply the height by π, which is a numeric constant that begins 3.14 and never terminates. For this example, the height is 4, and 4 multiplied by π equals 12.566.

Step 3

Divide the tripled volume by the product of the height and π. For this example, 60 divided by 12.566 equals 4.775.

Step 4

Find the square root of the result from Step 3. For this example, the square root of 4.775 equals 2.185. The radius is 2.185.

References

  • "Basic Math and Pre-algebra"; Jerry Bobrow; 1995
  • "The Complete Idiot's Guide to Geometry"; Denise Szecsei; 2004

Cite This Article

MLA

Gartneer, Chance E.. "How To Find The Radius Of A Cone" sciencing.com, https://www.sciencing.com/how-to-find-the-radius-of-a-cone-12751880/. 31 May 2013.

APA

Gartneer, Chance E.. (2013, May 31). How To Find The Radius Of A Cone. sciencing.com. Retrieved from https://www.sciencing.com/how-to-find-the-radius-of-a-cone-12751880/

Chicago

Gartneer, Chance E.. How To Find The Radius Of A Cone last modified March 24, 2022. https://www.sciencing.com/how-to-find-the-radius-of-a-cone-12751880/

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