If radius of a sphere is equal to radius of cylinder and the height of sphere is equal to height of cylinder. Find the ratio of their TSA.

Dear student
Given: radius of sphere=radius of cylinder=r   sayand height of sphere=height of cylinder=h  Consider,TSA of sphereTSA of cylinder=4πr22πrr+h=2rr+2r as h=2r=2r3r=23
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Let radius of sphere be Rs and radius of cylinder be Rc

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I asked for RATIO OF TSA the answer you havE given is RATIO of CSA
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radius of sphere = radius of cylinder = r = r
height of sphere = height of cylinder
= diameter of sphere = height of cylinder (height of sphere = diameter in sphere)
=2r = h 
       TSA of sphere = 4πr​2 
       TSA of cylinder = 2​πr (r+h)
      = 2πr
×3r ( 2r = h ) ( 2r + r = 3r )
     = 6πr2
      
 TSA of cylinder : TSA of sphere
     = 6πr2​ : 4πr2
     = 6 : 4
     = 3 : 2

 
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