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

Question

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, 11 2 cm, 11 2 cm, ( 0 . 22 ) 2 m, ( 0 . 11 ) 2 m

MARKS App · Accepted Answer

Curved surface area = 2 πrh A = 2 πh ( 484 - h 2 ) r 2 + h 2 = ( 22 ) 2 ⇒ d A d h = 2 π 484 - h 2 + - 2 h 2 2 484 - h 2 = 0 ⇒ 484 - h 2 - h 2 = 0 ⇒ h 2 = 242 ⇒ h = 11 2 cm

Search any question & find its solution

Looking for more such questions to practice?