In many cases, factoring an expression can make it easier to evaluate as in the following applications.
Spherical shells: The volume of a spherical shell (like the outer shell of a cherry cordial) is given by the formula , where R is the outer radius and r is the inner radius of the shell. Write the right-hand side in completely factored form, then find the volume of a shell where R = 1.8 cm and r= 1.5 cm. Answer in exact form and in approximate form rounded to the nearest tenth.
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