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A Spherical Balloon with Radius rr Inches Has Volume 43πr3\frac { 4 } { 3 } \pi r ^ { 3 } \text {. }

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A spherical balloon with radius rr inches has volume
43πr3\frac { 4 } { 3 } \pi r ^ { 3 } \text {. }
Find a function that represents the amount of air required to inflate the balloon from a radius of rr inches to a radius of r+1r + 1 inches.


Definitions:

IQ

Intelligence Quotient, a standardized score meant to measure human intelligence, derived from various tests assessing cognitive abilities.

Intellectual Functioning

The capacity to think, reason, solve problems, and understand complex ideas, often measured through intelligence quotient (IQ) tests.

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