MathematicsIf radius of cylinder and hemisphere is 50% more than the height of cylinder. Then how much % of beverage can be transfer from cylinder to hemisphere?

If radius of cylinder and hemisphere is 50% more than the height of cylinder. Then how much % of beverage can be transfer from cylinder to hemisphere?

  1. A
    33 %
  2. B
    70 %
  3. C
    100 %
  4. D
    None of the above 

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    Solution:

    Radius = 50% more than height
     Let’s consider h as the height of the cylinder
     The radius of the cylinder = 50
    100

    × ℎ × ℎ
    = + ℎ
    2
     = 32
     Volume of the cylinder = π r2 h
     = π × (

    3)2 × ℎ
    2
    = π × 92 × ℎ
    2
     = 9 𝜋 ℎ3
    2
     The volume of the hemisphere =
     = 2 × π
     
       2 π 𝑟3
    3
     3  3
    × ( )
    3 2
    = 9 𝜋 ℎ3
    2
     Therefore, the volume of the cylinder and the volume of the hemisphere is same Hence, 100% of the beverage can be transferred.
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