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Question
Choose the correct answer of the following question:
The number of solid spheres, each of diameter 6 cm, that can be made by melting a solid metal cylinder of height 45 cm and diameter 4 cm, is
Options
2
4
5
5
6
Solution
We have,
Radius of the sphere, `"r" = 6/2 = 3 "cm"`
Height of the cylinder, H = 45 cm and
Radius of the cylinder, `"R" = 4/2`
Now,
The number of sphere that can be made`= "Volume of the cylinder"/"Volume of the sphere"`
`= (pi"R"^2H)/(4/3pi"r"^3)`
`= (3xx2xx2xx45)/(4xx3xx3xx3)`
= 5
Hence, the correct answer is option (c).
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