If The curved surface area of cylinderical pillar is 264m2 and its volume is 924m3. find the diameter and height of the pillar?

Answer 1

CSA of cylinder = 2 * pi * r * h

So, 264 = 2 * pi * r * h

Volume of cylinder = pi * r2 * h

So, 924 = pi * r2 * h

Step 1

pi * r2 * h /2 * pi * r * h = 924 / 264

Or, r / 2 = 924 / 264

Or, r = 924 * 2 / 264

Or, r = 7

Therefore, Radius = 7cm and Diameter = 2r = 14cm

Step 2

Or, 2 * pi* 7 * h = 264

Or, 44h = 264

Or, h = 264 / 44

Or, h = 6

Therefore, Height = 6cm

Therefore, Height is 6cm and Diameter is 14cm