Question

A metallic cylinder of diameter 14 cm and height 49 cm is melted and cast into cubes with side 22 7 cm. How many cubes will be formed​

Answer 1

22 cubes are formed.

Explanation:

Given that,

The diameter of the cylinder, d = 14 cm

Height of the cylinder, h = 49 cm

The side of the cube, a = 7 cm

Let there are n cubes formed. So,

`n=\frac{\text{volume of cylinder}}{\text{side of cube}^3}\\\\=(\pi r^2 h)/(a^3)\\\\=((22)/(7)* (7)^2 * 49)/((7)^3)\\\\n=22`

Hence, there are 22 cubes that are formed.