The volume of a sphere of radius a is 4a 3 /3. Show that the volume of

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The volume of a sphere of radius a is 4πa3/3. Show that the volume of material used in constructing a hollow sphere of interior radius a and exterior radius a + t is

V=47(3at + 3at +1)/3

Deduce that the surface area of the sphere of radius a is S = 4πa2 and show that it is equal to the area of the curved surface of the enclosing cylinder.

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