NIMCET 2019 Question Paper with solutions

Question : 85 of 120

Marks: +1, -0

The number of solid spheres, each of diameter 3 cm that could be moulded to form a solid cylinder of height 54 cm and diameter 4cm is

Solution:

According to the question.

n×\text "volume of sphere"=\text "Volume of cylinder"

⇒n×4/3πr_1^3=πr_2^2h⇒n×4/3×(3/2)^3=(2)^2×54

⇒n={4×54×3×8}/{4×27}

∴\;n=48

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