Question

if a solid metallic sphere of radius 16 cm is melted and recast into m- spherical balls of radius 2 cm then value of m is equal to

Answer 1

radius of the sphere r=16cm
volume v =4/3πr³
v=4x22x(16)³/3x7
v=360448/21
v=1764.19cm³
This sphere is recast into m spheres of radius =2cm
volume of m spheres V=m4/3πr³
V=m4x22x(2)³/3x7
V=m704/21
V=m33.52cm³
The volume of the solid sphere must be equal to the Spheres that has been recasted.
m33.52=1764.19
m=1764.19/33.52
m=512(approx).
This is the required answer.

Answer 2

Answer:

512

Step-by-step explanation:

• This is the required answer.
• Here in case of recasting the volume of the total material will remain same.
• so there will be 512 new small spheres after recasting