Question

how many small sphere( radius 1cm) can be obtained by melting a solid sphere of radius 4cm​

Answer 1

Step-by-step explanation:

Volume of the spherical ball of radius 8 cm

$=\frac{4}{3} \pi \times {8}^{3} {cm}^{3}$

Also, volume of each smaller spherical ball of radius 1 cm

= $\frac{4}{3} \pi \times {1}^{3} {cm}^{3}$

Let n be the number of smaller balls that can be made. Then, the volume of the larger ball is equal to the sum of all the volumes of n smaller balls.

Hence,

$\frac{4}{3}\pi\times n= \frac{4}{3} \pi \times {8}^{3} \\ \\n={8}^{3}=512$

Hence, the required number of balls =512.