A cylinder fits inside a square prism as shown. For Every cross section, the ratio of the area of the circle to the area of the square is pir2/4r2 or pi/4. Since the area of the circles is pi/4 the area of the Square, the volume of the cylinder equals

1. Pi/2 The volume of the prism or pi/2 (2r)(h) or pi rh

2. Pi/2 the volume of the prism or pi/2 (4r2)(h) or 2r2h

3. Pi/4 The volume of the prism or pi/4 (2r)(h) or pi/4r2h

4. Pi/4 The volume of the prism or pi/4 (4r2)(h) or pi r2h