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

question 67

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:

Income Statement

A financial statement that shows a company's revenues, expenses, and net income over a specific period.

Absorption Costing

An accounting method that includes all manufacturing costs (direct labor, direct materials, and both variable and fixed overhead) in the cost of a product.

Variable Costing

An accounting method that considers only variable costs for product costing, excluding fixed manufacturing overhead from the cost of goods sold.

Income Statement

A financial report that shows the company's revenues and expenses over a specified period, resulting in net profit or loss.