Q11 of 67 Page 190

30800 cm3 of water can be filled in a cylindrical container. The inner radius of the container is 14 cm. Find the inner curved surface area of the container.

Volume of water filled in cylinder = volume of cylindrical container


Radius = r = 14 cm


Let Height = h


Volume of cylindrical container = 30800


Volume of cylinder = πr2h


⇒ πr2h = 30800


⇒ × 142 × h = 30800


⇒ × 14× 14 × h = 30800


⇒ 28 × 22 × h = 30800


⇒ h =


⇒ h =


Divide numerator and denominator by 14


⇒ h = = 50 cm


Curved surface area of cylinder = 2πrh


⇒ inner curved surface area = 2 × × 14 × 50


= 100 × 22 × 2


= 4400 cm2


Therefore, inner curved surface area of the container is 4400 cm2


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