ishwarisuryawanshi6
ishwarisuryawanshi6 ishwarisuryawanshi6
  • 19-02-2021
  • Mathematics
contestada

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​

Respuesta :

Muscardinus Muscardinus
  • 24-02-2021

Answer:

22 cubes are formed.

Step-by-step 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,

[tex]n=\dfrac{\text{volume of cylinder}}{\text{side of cube}^3}\\\\=\dfrac{\pi r^2 h}{a^3}\\\\=\dfrac{\dfrac{22}{7}\times (7)^2 \times 49}{(7)^3}\\\\n=22[/tex]

Hence, there are 22 cubes that are formed.

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