how many solid balls each of radius 2cm can be made by melting a solid sphere of lead of radius 10 cm
Answers
Answer:
125 small spheres.
Step-by-step explanation:
Given: Radius of small sphere = 2cm
Radius of large sphere = 10cm
Now, Volume of small sphere = (4×πr³)/3
= (4×22×2³)/3
= (88×8)/3
= 704/3 cm³
Volume of large sphere = (4×πr³)/3
= (4×22×10³)/3
= (88×1000)/3
= 88000/3 cm³
Now, number of small spheres could be formed from large sphere = Volume of large sphere / Volume of small sphere
Number of small spheres = (88000/3)/(704/3)
= (88000×3)/(704×3)
= 88000/704
= 125 spheres.