A metallic sphere of diameter 40 cm is melted into smaller spheres of radius 0.5 cm. How many such small balls can be made ?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e 64,000
Explanation:
Volume of sphere = 4/3 πr3
radius of sphere = diameter/2 = 40/2 = 20 cm
volume of sphere = total volume of all smaller sphere
4/3π203 = n × 4/3 π(0.5)3
8000 = 0.125n
n = 8000/0.125 = 64000
∴ 64000 small balls can be made.