Lack O' Info II
Geometry
Level
3
Consider a torus in which the numerical value of its area is the same as the numerical value of its volume.
Evaluate the numerical value of its minor radius.
The answer is 2.
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1 solution
Let R be the distance between the center of the torus and the center of the torus' tube and r the radius of the tube AKA minor radius .
It is known that a torus area can be expressed as 4 π 2 R r , where the torus volume can be expressed as 2 π 2 R r 2 .
By solving 4 π 2 R r = 2 π 2 R r 2 , we get r = 2 .