Application of Derivatives Practice Questions

1.    A closed right circular cylinder has volume 2156 cubic units. What should be the radius of its base so as total surface are is minimum? (Take π = 22/7)
       (a)    2 cm     (b)    4 cm    (c)    5 cm     (d)    7 cm

2.     A right angled triangle with hypotenuse h has maximum area if one of remaining sides is