Question

Choose the correct answer of the following question:

The number of solid spheres, each of diameter 6 cm, that can be made by melting a solid metal cylinder of height 45 cm and diameter 4 cm, is

Options

• 2

• 4

• 5

• 5

• 6

Answer 1

We have,

Radius of the  sphere, `"r" = 6/2 = 3  "cm"`

Height of the cylinder, H = 45 cm and 

Radius of the cylinder, `"R" = 4/2`

Now,

The number of sphere that can be made`= "Volume of the cylinder"/"Volume of the sphere"`

`= (pi"R"^2H)/(4/3pi"r"^3)`

`= (3xx2xx2xx45)/(4xx3xx3xx3)`

= 5

Hence, the correct answer is option (c).