Verified answer

Answer:

Let height  be h cm

Total surface area=2πr(r+h) sq. cm

radius (r) =7 cm

ATQ,

TSQ = 968 Sq cm

⇒ 968 = 2×22/7×7(7+h)

⇒ 44968=7+h

⇒ h+7=22

⇒ h=22−7

or, h = 15

Required height = 15 Sq. cm

Curved surface area of the cylinder = 2πrh

or, CSA = (2×22/7×7×15) Sq. cm

or, CSA = 660 Sq cm.