A Spherical Balloon Is Inflated with Gas at the Rate $\frac { d r } { d t } = \frac { 3 } { 98 \pi } \mathrm { cm } / \mathrm { min }$

question 188

Multiple Choice

A spherical balloon is inflated with gas at the rate of cubic centimeters per minute. How fast is the radius of the balloon increasing at the instant the radius is centimeters?

• A) \(\frac { d r } { d t } = \frac { 3 } { 98 \pi } \mathrm { cm } / \mathrm { min }\)
• B) \(\frac { d r } { d t } = \frac { 1 } { 98 \pi } \mathrm { cm } / \mathrm { min }\)
• C) \(\frac { d r } { d t } = \frac { 3 } { 196 \pi } \mathrm { cm } / \mathrm { min }\)
• D) \(\frac { d r } { d t } = 98 \pi \mathrm { cm } / \mathrm { min }\)
• E) \(\frac { d r } { d t } = 196 \pi \mathrm { cm } / \mathrm { min }\)

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Definitions:

Cost Basis

The original value or purchase price of an asset or investment for tax purposes, adjusted for dividends, splits, and returns of capital.

Lower-of-Cost-or-Market

An accounting principle requiring inventory to be recorded at either its cost or its market value, whichever is lower.

FIFO

A method of inventory valuation where goods first purchased or produced are assumed to be sold or used first, standing for "First In, First Out".

LIFO

Last-In, First-Out (LIFO) is an inventory valuation method whereby the most recently produced or acquired items are sold, used, or disposed of first.