N solid metallic spherical balls are melted and recast into a cylindrical rod whose radius is 3 times that of a spherical ball and height is 4 times the radius of a spherical ball. The value of N is: ?

30
24
36
27

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 4 : 27

As we know,

Volume of sphere = (4/3) πr³

Volume of cylinder = πr²h

Let the radius of spherical balls be r cm and height of spherical balls be h cm

Radius of cylindrical rod = 3r and height of cylindrical rod = 4r

According to the question

N × (4/3) × π × r³ = π (3r)² × 4r

⇒ N = 27

4 views Answered 2022-09-04 04:29

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