Question

The number of solid spheres, each of diameter 6 cm that could be moulded to form a solid metal cylinder of height 45 cm and diameter 4 cm, is

(a) 3

(b) 4

(c) 5

(d) 6

Answer 1

Here,

Diameter of sphere = 6 cm

Radius of sphere

Volume of the sphere

Now,

Diameter of cylinder = 4 cm

^{Radius of cylinder}

Height of the cylinder = 45 cm

Then,

Volume of the cylinder

The number of solid sphere

The number of solid sphere is 5.

Hence, the correct answer is choice (c).