Given,
Radius of metallic sphere = R = 10.5 cm
So, its volume = 4/3 πR3
= 4/3 π(10.5)3
We also have,
Radius of each cone = r = 3.5 cm
Height of each cone = h = 3 cm
And, its volume = 1/3 πr2h
= 1/3 π(3.5)2(3)
Thus,
The number of cones = Volume of metallic sphere/ Volume of each cone
= 4/3 π(10.5)3 / 1/3 π(3.5)2(3)
= 126