This question based on Surface area of sphere. In this question surface area of sphere is given; by using Surface area of sphere formula we will get answer of this problem. This question from RS Aggarwal book, Chapter Mensuration, Volume and Surface Area of Solid, Exercise 17A, Page number 787, problem number 8.

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# The surface area of a sphere is 2464 cm² . If its radius be doubled, then what will be the surface area of the new sphere?

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Given,

Surface area of a sphere = 2464 cm

^{2}4π r

^{2}= 2464If the radius is doubled, then new radius is 2r

Surface area of a sphere with radius 2r = 4π (2r)

^{2}= 4 x 4π r

^{2}= 4 x 2464

∴ Surface area of a new sphere = 9856 cm

^{2}