A solid metallic cylinder of radius $12 c m$ and height $175 c m$ is melted and moulded into another solid cylinder of height $63 c m$ . What is the radius of the new cylinder?

14

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4 π

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20

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5 π

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Solution

The correct option is C $20$
Radius of cylinder $= 12 c m$
Height $= 175 c m$
Height of new cylinder $= 63 c m$
Let the radius of New cylinder $r$
So, volume of both cylinder should be equal $π {(12)}^{2} 175 = π r^{2} (63)$
On solving $r = 20 c m$

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A solid metallic cylinder of radius 12cm and height 175cm is melted and moulded into another solid cylinder of height 63cm. What is the radius of the new cylinder?

The correct option is C 20Radius of cylinder =12cmHeight =175cmHeight of new cylinder =63cmLet the radius of New cylinder rSo, volume of both cylinder should be equal π(12)2175=πr2(63)On solving r=20cm

A solid metallic cylinder of radius $12 c m$ and height $175 c m$ is melted and moulded into another solid cylinder of height $63 c m$ . What is the radius of the new cylinder?

The correct option is C $20$
Radius of cylinder $= 12 c m$
Height $= 175 c m$
Height of new cylinder $= 63 c m$
Let the radius of New cylinder $r$
So, volume of both cylinder should be equal $π {(12)}^{2} 175 = π r^{2} (63)$
On solving $r = 20 c m$