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 | 7th Jan, 2019, 03:04: PM

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 | 7th Jan, 2019, 04:17: PM