Everything 3D

Geometry Level 3

This is a picture of a donut with circular cross sections. Its inner radius is a a and the outer radius is b b . Its area of the spine of the torus is equal to its volume. What is b a b-a ?


The answer is 4.

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1 solution

E Koh
Nov 6, 2019

Volume = (pi)^2(b+a)(b-a). Area of spine of torus = (1/4)(pi)^2(b+a)(b-a)^2. As Volume = Area(numerically) => (pi)^2(b+a)(b-a) = (1/4)(pi)^2(b+a)(b-a)^2. (b-a) = 4.

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