If the curved surface area of right circular cylinder inscribed in a sphere of radius 22   cm is…

If the curved surface area of right circular cylinder inscribed in a sphere of radius 22 cm is maximum then height of the cylinder will be
  1. 112 cm
  2. 112 cm
  3. (0.22)2m
  4. (0.11)2m

Solution

Curved surface area=2πrh

A=2πh(484-h2)

r2+h2=(22)2

⇒dAdh=2π484-h2+-2h22484-h2=0

⇒484-h2-h2=0

⇒h2=242

⇒h=112 cm

Asked in: AP EAMCET 2020 (23 Sep Shift 1)

Practice more Applications of Derivatives questions on Aicharya