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?

# 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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