Engine displacement is the measure of the cylinder volume swept by all the pistons of a piston engine. The piston moves inside the cylinder bore The cylinder bore in the form of circular cylinder open at the top is to be made from a metal sheet of area 75πcm2.
Based on the above information, answer the following questions :
(i) If the radius of cylinder is r‌cm and height is h‌cm, then write the volume V of cylinder in terms of radius r.
(ii) Find ‌

dV

dr

.
(iii) (a) Find the radius of cylinder when its volume is maximum.
OR
(b) For maximum volume, h>r. State true or false and justify.