Question

A solid metallic cuboid of dimensions 32 cm × 36 cm × 44 cm is melted and solid balls, each of radius 12 cm are made from this material. The number of balls will be: (Take π = 22/7)
1. 11
2. 9
3. 14
4. 7

Answer 1

Correct Answer - Option 4 : 7

Given:

Dimensions of Cuboid,

32cm × 36cm × 44cm

Melted into number of solid balls of radius 12cm.

Formula Used:

Volume of Cuboid = l × b × h,

Where, 

l is length 

b is breadth, 

h is height

Volume of Solid ball = 4/3πr³

Where,

r is radius 

Calculation:

Let say total number of Solid ball that formed be n

Volume of Cuboid = n × Volume of single solid ball

⇒ 32 × 36 × 44 = n × 4/3πr3

⇒ 32 × 36 × 44 = n × 4/3 × 22/7 × (12)3

⇒ n = (32 × 36 × 44 × 3 × 7)/(4 × 22 × 12 × 12 × 12)

⇒ n = 7

∴ Total number of solid balls is 7.