Question

A spherical metal ball of radius 8 cm is melted to make 8 smaller identical balls. The radius of each new ball is_______cm.​

Answer 1

Step-by-step explanation:

volume of sphere is= 4/3 pi r^3

volume of metal ball of radius 8 cm = 4/3×22/7×8×8×8

volume of 8 smaller identical balls = 8×4/3×22/7×r^3

volume of bigger metals sphere ball = volume of 8 smaller balls

4/3×22/7×8×8×8 = 8×4/3×22/7×r^3

64=r^3

r=4 cm

Answer 2

The volume of the sphere is =4/3πr³

The radius is 8 cm

so volume= 4/3×22/7×8×8×8

now we count the 8 balls volume

the volume of 8 small ball = 4/3×πr³

here the radius is not given us so we fond it by procecically

8×4/3×22/7×r³

Now the volume of the sphere = the volume of

8small balls

4/3×22/7×8×8×8= 4/3×22/7×r³

same number are cut in two side then answer

is= 64= r³

=r= 4