The radius of the base of a cylinder is 3.5 cm and its curved surface area is 616 cm2. Find the volume of the cylinder. (Take \(\pi = \tfrac{22}{7}\))
1078 cm3
CSA of cylinder: \(2\pi rh = 616\), with r=3.5: \(2\times\tfrac{22}{7}\times3.5\times h = 22h = 616 \Rightarrow h = 28\).
Volume: \(\pi r^2h = \tfrac{22}{7}\times3.5^2\times28 = \tfrac{22}{7}\times12.25\times28 = 1078\).
Hence, the volume of the cylinder is 1078 cm3.