Question: 2. Let (mathcal{S}) be a spherical ring obtained by drilling a hole with radius ( r ) through the center of a sphere of radius

2. Let $\mathcal{S}$ be a spherical ring obtained by drilling a hole with radius $ r $ through the center of a sphere of radius $ R $. Suppose the height of the hole is $ h $. Find the volume of the spherical ring $\mathcal{S}$ in terms of $ h $ by using: (a)$[1\mathrm{p}]$ the washer method, (b)$[1\mathrm{p}]$ the method of cylindrical shells.

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