#### 157.08
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- The volume after reduction \( V_2 = \pi (5)^2 (8) = 200\pi \) cubic meters.
- The volume removed is \( 250\pi - 200\pi = 50\pi \) cubic meters.
- So, the volume removed is \( 50\pi \) cubic meters, or approximately \( 157.08 \) cubic meters.
- If a square has a side length that increases at a constant rate of 2 cm per second, how fast is the area increasing when the side length is 5 cm?
- The area \( A \) of a square is \( A = s^2 \), where \( s \) is the side length.
- The rate of change of the area with respect to time is given by \( rac{dA}{dt} = 2s rac{ds}{dt} \).
