Three cylinders of height of 8 cm and diameters 0.24 m, 0.28 m and 0.16 m respectively are melted to

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01 Jul 2022 Mensuration

Three cylinders of height of 8 cm and diameters 0.24 m, 0.28 m and 0.16 m respectively are melted to form spherical solid balls of diameter 4 cm, then number of balls thus formed is

OPtion

1) 296
2) 606
3) 315
4) 526
5) 313
6) 256
7) 303
8) 289
9) 324
10) None of these

Solution

Number of ball = Volume of three cylinders / Volume of a spherical ball
= π*8*(12² + 14² + 8²) / [(4/3) π*2³]
= 8*404 /[(4/3)*8]
= 303

Correct Option: 7 Best Solution (1)