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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 |
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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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