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Algebra
Question

Modeling) Volume of a Sphere The formula for the volume of a sphere is $$V ( r ) = \frac { 4 } { 3 } \pi r ^ { 3 }$$ , where $$r$$ represents the radius of the sphere. Construct a model function $$V$$ representing the amount of volume gained when the radius $$r$$ (in inches) of a sphere is increased by $$3$$ in.

Answer

$$V ( r ) = \frac { 4 } { 3 } \pi ( r + 3 ) ^ { 3 } - \frac { 4 } { 3 } \pi r ^ { 3 }$$

Solution
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