Questions
The height of the right circular cylinder of maximum volume that can be inscribed in a sphere of radius ‘a’ is
a
a3
b
2a3
c
2a
d
a2
detailed solution
Correct option is B
Volume of the right circular cylinderV=πr2h=πha2−h24 ∵a2=r2+h24=πa2h−h34 Differentiate with respect to ' h ' ⇒dvdh=πa2−3h24=0⇒h=2a3Talk to our academic expert!
Similar Questions
The height of the cylinder of maximum volume that can be inscribed in a sphere of radius ‘a’ is
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