Question

if a solid metallic sphere of radius 8cm is melted and recasted into spherical solid balls of radius 1cm, the n​

Answer 1

$\underline\red{\bold{Answer :- }}$

Step-by-step explanation:

$volume \: of \: sphere = \frac{4}{3} \pi {r}^{3}$

$for \: solid \: metallic \: sphere \: radius =$

$r = 8cm$

∴$volume \: = \LARGE \frac{4}{3} \small\times 3.14 \times {8}^{3}$

$= \LARGE\frac{6430.72}{3}$

$= 2143.57 {cm}^{3}$

$for \: spherical \: solid \: balls \: radius \: =$

$(R)=1 cm$

∴$volume \: = \LARGE \frac{4}{3} \small\times 3.14 \times {1}^{3}$

$= \LARGE\frac{12.56}{3}$

$= 4.186 {cm}^{3}$

In order to find the number of balls carved from larger sphere we need to divide the larger ball to small ball,

∴$\LARGE\frac{2143.57}{4.186}$

$= 512.08 ≈ 512 \: balls$