1.

A solid metallic cylinder of radius 14 cm and height 32 cm is melted down to form cubes. How many such cubes can be made if height of each cube is 4 cm?1. 3042. 3083. 3064. 302

Answer» Correct Answer - Option 2 : 308

Given:

The radius of the cylinder = 14 cm

Height of the cylinder = 32 cm

Formula used:

Volume of cylinder = πr2h

Volume of cube = a3

Calculation:

According to the question,

Volume of the cylinder = πr2h

⇒ \(\frac{{22}}{7} × 14 × 14 × 32\)

⇒ 22 × 2 × 14 × 32

⇒ 19712

Side of cube = 4

No. of cubes = 19712/43

⇒ No. of cubes = 19712/64

⇒ No. of cubes = 308

∴ The number of cubes that can be made is 308.



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