The volume ( V ) of a sphere can be calculated using the formula ( V = \frac{4}{3} \pi r^3 ), where ( r ) is the radius. For a sphere with a radius of 15, the expression for its volume would be ( V = \frac{4}{3} \pi (15)^3 ). This simplifies to ( V = \frac{4}{3} \pi (3375) ), or ( V = 4500 \pi ) cubic units.
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