In many cases, factoring an expression can make it easier to evaluate as in the following applications.
Conical shells: The volume of a conical shell (like the shell of an ice cream cone) is given by the formula , where R is the outer radius and r is the inner radius of the cone. Write the formula in completely factored form, then find the volume of a shell when R = 5.1 cm, r = 4.9 cm, and h = 9 cm. Answer in exact form and in approximate form rounded to the nearest tenth.
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