If the radius if a sphere is decreased by `(1)/(2)` times, then the cu – InterviewSolution

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1.	If the radius if a sphere is decreased by `(1)/(2)` times, then the curved surface area of the sphere will be changed byA. `(1)/(2)` timesB. `(1)/(4)` timesC. `(1)/(8)` timesD. `(1)/(16)` times
Answer» If the radius of a sphere be r units, the curved surface area of it will be =S= `4pir^(2)` sq-units. If the radius is decreased by `(1)/(2)` times, then the curved surface area `=4pixx((r)/(2))^(2) "sq-units" =pir^(2) "sq-unit"=(1)/(4)xx4pir^(2) "sq-unit"=(1)/(4)xx "S sq-unte" =(S)/(4) "sq-units"` `therefore` the new curved surface area of the sphere will be `(1)/(4)` times of the previous curved surface area.

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