Question

an iron sphere of radius 14 cm is melted. The spheres each of diameter 7 cm can be made out of it is 10 b) 88 c) 49 d) 64


please give step by step solution ​

Answer 1

Step-by-step explanation:

Volume of iron sphere=x×Volume of small spheres

Diameter of small sphere=7cm

Radius of the small sphere=7/2cm

4/3pi R³=4/3pi r³×x

14×14×14=7/2×7/2×7/2×x

x=64

So,the spheres each of diameter 7cm can be made out of it is 64

Answer 2

Answer:

an iron sphere of radius 14 cm is melted. The spheres each of diameter 7 cm can be made out of it is 64.

Step-by-step explanation:

the volume of iron in a sphere of radius 14 cm will be = $\frac{4}{3} \pi (14)^{3}$

=  11488.21333 $cm^{3}$

now the volume of a sphere of diameter 7 cm will be = $\frac{4}{3} \pi (\frac{7}{2})^{3}$

=179.5033 $cm^{3}$

now the number of spheres can be made out of the big sphere is = 11488.21333/ 179.5033 = 63.999 = 64