Suppose a Snowball Melts in Such a Way That It

question 45

Multiple Choice

Suppose a snowball melts in such a way that it maintains a spherical shape. If the radius is decreasing at a rate of 1.75 cm per hour when the radius is 6 cm, how fast is the volume of the snowball decreasing at that instant?

• A) 791.7 cm³/hr
• B) 263.9 cm³/hr
• C) 583.2 cm³/hr
• D) 1045.0 cm³/hr

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Definitions:

Economic Costs

The total cost of production, including both explicit costs like wages and materials and implicit costs such as opportunity costs.

Accounting Profit

The total revenue of a business minus the explicit costs associated with that revenue, calculated using generally accepted accounting principles (GAAP).

Long Run

A period of time in economics during which all factors of production and costs are variable, allowing for full adjustment to changes.

Short Run

In economics, a period during which at least one of a firm's inputs is fixed and cannot be changed.