Question

A solid sphere of radius 3cn is melted and then recast into small spheeical balls each of diameter is 0.6cm. Find the no. Of balls

Answer 1

Answer:

Step-by-step explanation:

radius of bigger sphere(R) = 3 cm

radius of smaller balls(r) = 0.6/2 = 0.3 cm

let the number of small balls = n

n×volume of a small balls = volume of bigger sphere

n*4/3πr³ = 4/3πR³

n = R³/r³

n = (R/r)³

n = (3/.03)³= (10)³

n = 1000

Number of small balls is 1000.

Answer 2

Answer:

Let the radius of solid sphere be r₁ and for spherical ball be r₂ .

Now :

Number of ball = Volume of solid sphere / volume of spherical ball .

= 4 / 3 π r₁³ / 4 / 3 π r₂³

= 4 / 3 π × 3 × 3 × 3 / 4 / 3 π × 0.3 × 0.3 × 0.3

=  3 × 3 × 3 / 0.3 × 0.3 × 0.3

= 1000 .

Therefore , Number of balls is 1000 .