(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

if you guys have trouble reading that, it says,

Suppose you make napkin rings by drilling holes with different diameters through two wooden balls (which also have different diameters). You discover that both napkin rings have the same height h, as shown in the figure.

a) Guess which ring has more wood in it.

b) Check your guess: use cylindrical shells to compute the volume of a napkin ring created by drilling a hole with radius r through the center of a sphere of radius R and express the answers in terms of h.

2. Relevant equations

I know how to find the volume of this using discs, which the equation would be

integral[-R, R] sqrt[R^2 - X^2] - integral[-r, r] sqrt[R^2 - x^2]

3. The attempt at a solution

i have no idea how to answer this in terms of h, can someone please help me put this in terms of h.

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# Homework Help: Need help with volumes of spheres with holes.

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