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The volume of a sphere with radius r is   and the surface area is 4πr2. If a solid spherical ball of iron with radius r centimetres is cut into two equal hemispheres, what is the ratio, in terms of r, of the volume and the surface area of each hemisphere?
  • a)
    2r/9
  • b)
    r/3
  • c)
    4r/9
  • d)
    2r/3
  • e)
    4r/3
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The volume of a sphere with radius r is and the surface area is 4π...
Approach:
  1. To find the required ratio, we need to know the volume and the surface area of the hemisphere.
  2. Volume of hemisphere 
  3. Surface area of hemisphere  Note that the new exposed surface is a circle of radius r units
Working Out:
So, the correct answer is Option A
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