Question

A solid sphere of radius 3 centimetre is melted and recast into small spherical ball of diameter 0.6 m find the number of calls

Answer 1

radius if big sphere = 3cm
new sphere diameter =.6cm
radius of new sphere=.3cm
Let number of new spheres = x
so
$\frac{4}{3} (\pi {R}^{3} ) = x \times \frac{4}{3} (\pi {r}^{3} ) \\ \frac{3 \times 3 \times 3}{.3 \times .3 \times .3} = x \\ 1000 = x$
number of balls = 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 .