The curved surface area of a solid sphere is equal to the surface area – InterviewSolution

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1.	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 . Find the length of radius of the sphere.
Answer» Let the radius of the sphere be r cm. `therefore` curved surface area of the solid sphere =`4pir^(2)` sq-cm The radius of the right circular cylinder`=(12)/(2)cm=6cm.` and heght of it =12 cm. `therefore` surface area of the right circular cylinder =`2pixx6xx12` sq-cm. As per question, `4pir^(2)=2pixx6xx12 or, r^(2)`=36 or , r=6 Hence the required radius of the sphere=6cm.

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