Q16 of 26 Page 183

The curved surface area of a solid sphere is equal to the surface area of a solid right circular cylinder. The lengths of both height and diameter of cylinder are 12 cm. Let us write the length of radius of the sphere.

Given:


Height of cylinder = 12cm


Diameter of cylinder = 12cm


Formula Used:



Image source: socratic


Surface Area of cylinder = 2πrh + 2πr2


Surface Area = 2π(6×12 + 62) = 216 π


Surface Area of sphere = Surface area of cylinder


⇒ 4πr2 = 216 π


⇒ r2 = 54


⇒ r = 7.35cm


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