A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min. At what rate is the volume of the snowball decreasing when the radius is 12 cm. (Note the answer is a positive number). cm min 4 Hint: The volume of a sphere of radius r is V 3

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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**Problem:**

A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min. At what rate is the volume of the snowball decreasing when the radius is 12 cm? (Note the answer is a positive number).

\[ \Box \quad \frac{\text{cm}^3}{\text{min}} \]

**Hint:** The volume of a sphere of radius \( r \) is \( V = \frac{4}{3}\pi r^3 \).
Transcribed Image Text:**Problem:** A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min. At what rate is the volume of the snowball decreasing when the radius is 12 cm? (Note the answer is a positive number). \[ \Box \quad \frac{\text{cm}^3}{\text{min}} \] **Hint:** The volume of a sphere of radius \( r \) is \( V = \frac{4}{3}\pi r^3 \).
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