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ICSE Class 10 Answered

the height of right cylinder is 16cm and the radius of its base is 12cm . find radius of the sphere whose volume is equal to volume of given cylinder  
Asked by huzefayamani29 | 07 Jan, 2019, 03:04: PM
answered-by-expert Expert Answer
Let r be the radius of sphere and R be the radius of cylinder.
Cylinder : r = 12 cm, h = 16 cm
Volume of sphere = Volume of cylinder
begin mathsize 16px style 4 over 3 πr cubed equals πR squared straight H fraction numerator begin display style 4 end style over denominator begin display style 3 end style end fraction straight r cubed equals 12 squared cross times 16 straight r cubed equals 12 squared cross times 16 cross times 3 over 4 straight r cubed equals 12 squared cross times 12 straight r cubed equals 12 cubed straight r equals 12 space cm end style
The radius of a sphere is 12 cm.
Answered by Sneha shidid | 07 Jan, 2019, 04:17: PM

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