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Q.

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?

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a

33 %

b

70 %

c

100 %

d

None of the above

answer is C.

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Detailed 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 + ℎ
2
= 3ℎ 2
Volume of the cylinder = π r2 h
= π × (

3ℎ)2 × ℎ
2
= π × 9ℎ2 × ℎ
2
= 9 𝜋 ℎ3
2
The volume of the hemisphere =
= 2 × π

2 π 𝑟3
3
3ℎ 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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