Question

A metallic sphere of radius 10.5 cm is melted and then recast into small cones, each of radius 3.5 cm and height 3 cm. The number of such cones is

(a) 63

(b) 126

(c) 21

(d) 130

Answer 1

Radius of metallic sphere = 10.5 cm

Therefore,

Volume of the sphere

Now,

Radius of the cone = 3.5 cm

and Height of the cone = 3 cm

Therefore,

Volume of the cone

Number of cone

Dividing eq. (i) and (ii) we get

Number of cone

Number of cone = 126

Hence, the correct answer is choice (b).