Answer:
Step-by-step explanation:
Step one:
we are given the radius as
r=2cm, and the number of spheres is 50 in numbers
let us find the volume of one sphere and multiply the area by 50 to get the volume of the 50 spheres
Step two:
[tex]volume=4/3 \pi r^3[/tex]
[tex]volume=4/3*3.142 *2^3\\\\volume=100.5/3\\\\volume=33.5[/tex]
The volume of one sphere is 33.5in^3
Hence the volume of the 50 spheres will be
=33.5*50
=1675.7cm^3 approx.
Volume of the melted solution will be 1675.5 cm³.
Radius of each metal sphere = 2 cm
Expression for the volume of the sphere is given by,
Volume = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = radius of the sphere
By substituting the value of radius in the expression,
Volume = [tex]\frac{4}{3}\pi (2)^3[/tex]
= 33.51 cm³
Volume of the melted solution = Volume of 50 spheres
Volume of 50 spheres = 50 × (33.51)
= 1675.5 cm³
Therefore, Volume of the melted solution will be 1675.5 cm³.
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