A Spherical Balloon with Radius $r$ Inches Has Volume $4 \frac { \pi r ^ { 3 } } { 3 }$

question 72

Short Answer

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

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Definitions:

Vernier Calipers

A precision measuring instrument used to measure internal and external dimensions extremely accurately.

Dial Calipers

Precision measuring tools that use a calibrated dial to measure distances or thicknesses with high accuracy.

Rotors

Discs attached to the wheels of a vehicle that the brake pads press against to slow or stop the car, as part of the disc brake system.

Hub

The central part of a wheel that connects it to the axle, bearing the load and allowing it to rotate.