A cylindrical rod whose height is 8 times of its radius is melted and

1.	A cylindrical rod whose height is 8 times of its radius is melted and recast into spherical balls of same radius. The number of balls will be :A. 4 B. 3 C. 6 D. 8
Answer» Option : (C) Volume of a sphere = \(\frac{4}{3}\)πr³ Volume of a cylinder = πr²h Given, cylindrical rod whose height is 8 times of its radius is melted and recast into spherical balls of same radius. Let the number of such balls be ‘a’. ⇒ π × r² × 8r = a × \(\frac{4}{3}\)π × r³ ⇒ a = 6

A cylindrical rod whose height is 8 times of its radius is melted and recast into spherical balls of same radius. The number of balls will be :A. 4 B. 3 C. 6 D. 8

Answer»

Option : (C)

Volume of a sphere = \(\frac{4}{3}\)πr³

Volume of a cylinder = πr²h

Given,

cylindrical rod whose height is 8 times of its radius is melted and recast into spherical balls of same radius. Let the number of such balls be ‘a’.

⇒ π × r² × 8r = a × \(\frac{4}{3}\)π × r³

⇒ a = 6