Question

$\text{A solid metal ball of radius 8 cm is melted and cast into smaller balls, each of radius 2cm.The number of such balls is}\left(a\right)8\left(b\right)16\left(c\right)32\left(d\right)64$

Answer 1

RADIUS OF THE BALL=8cm

volume of the solid ball= $\frac{4}{3}\pi r^3$
$=\frac{4}{3}\times \frac{22}{7}\times 8\times 8\times 8$
volume of 1 small ball $=\frac{4}{3}\times \frac{22}{7}\times 2\times 2\times 2$
now,
$\frac{\text{volume of big ball}}{\text{volume of small balls}}$=no. small of balls =64 balls

Ans -d