Question

The diameter of a solid metallic sphere is 16 cm. The sphere is melted
and recast into solid spherical balls of radius 2 cm. Determine the
number of balls.

Answer 1

Answer:

64

Step-by-step explanation:

volume of solid metallic sphere with d= 16cm or r= 8cm is 2145.52 and the volume of solid spherical balls of r=2cm is 33.52

so

$\frac{volume \: of \: solid \: metallic \: sphere }{volume \: of \: solid \: metallic \: balls}$

$\frac{2145.52}{33.52}$

= 64

Answer 2

The number of balls are 64.

Step-by-step explanation:

Given that,

The diameter of a solid metallic sphere is 16 cm.

Radius of a solid metallic sphere is 8 cm.

The sphere is melted  and recast into solid spherical balls of radius 2 cm. We need to find the number of balls. Let there are n balls. So,

$V_i=n\times V_f$

Here, $V_i\ and\ V_f$ are initial and final volumes

$n=\dfrac{V_i}{V_f}\\\\n=\dfrac{(4/3)\pi (8)^3}{(4/3)\pi 2^3}\\\\n=64$

So, the number of balls are 64. Hence, this is the required solution.

Learn more,

Volume

https://brainly.in/question/2013630