A metallic cylinder with radius 15, cm and he | vedclass

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(B) Radius of the cylinder $r = 15\, cm$ and height $h = 20\, cm$.Radius of each ball $R = 3\, cm$.Suppose $n$ balls are produced.Since the volume rem

Vedclass · Accepted Answer

$125$

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(B) Radius of the cylinder $r = 15\, cm$ and height $h = 20\, cm$.Radius of each ball $R = 3\, cm$.Suppose $n$ balls are produced.Since the volume remains constant during melting and recasting:Volume of $n$ balls $=$ Volume of the cylinder$n 	imes \frac{4}{3} \pi R^3 = \pi r^2 h$$n 	imes \frac{4}{3} 	imes (3)^3 = (15)^2 	imes 20$$n 	imes \frac{4}{3} 	imes 27 = 225 	imes 20$$n 	imes 36 = 4500$$n = \frac{4500}{36} = 125$Thus,$125$ balls are produced.

$A$ metallic cylinder with radius $15\, cm$ and height $20\, cm$ is melted and recast to produce identical balls with radius $3\, cm$. Find the number of balls produced.

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