The radius of a cylinder is increasing at the rate 2cm/sec. and its altitude is decreasing at the rate of 3cm/sec. Find the rate of change of volume  when radius is 3 cm and altitude 5 cm.

Explanation

To find the rate of change of the volume of a cylinder when the radius is 3 cm and the altitude is 5 cm, we can follow these steps:

### Step 1: Write the formula for the volume of a cylinder.
The volume \( V \) of a cylinder is given by the formula:
\[ V = \pi r^2 h \]
where \( r \) is the radius and \( h \) is the height (altitude) of the cylinder.
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