Question

A partial cylinder lies on its side. The bases are a 90° sector of a circle. What is the exact volume of the partial cylinder? Can someone please help me understand this...

Answer 1

The volume of any solid whose base is uniform is V = Ah. Since the base is a sector of a circle, it’s area is defined by the equation A = θ (r^2)/2, where θ is in radians.

90 degrees in radians is Pi/2. So the A = (PI) (r^2)/4

Therefore, V = [(PI) (r^2)/4]*h