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(A) Given,diameter of the cylinder $= 2 \, cm$.Therefore,radius of the cylinder $(R) = 1 \, cm$ and height $(h) = 16 \, cm$.Volume of the cylinder $=

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$2$

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(A) Given,diameter of the cylinder $= 2 \, cm$.Therefore,radius of the cylinder $(R) = 1 \, cm$ and height $(h) = 16 \, cm$.Volume of the cylinder $= \pi R^2 h = \pi 	imes (1)^2 	imes 16 = 16 \pi \, cm^3$.Let the radius of each solid sphere be $r \, cm$.Volume of one sphere $= \frac{4}{3} \pi r^3$.Since $12$ spheres are made from the cylinder,the total volume of $12$ spheres equals the volume of the cylinder.$12 	imes (\frac{4}{3} \pi r^3) = 16 \pi$.$16 \pi r^3 = 16 \pi$.$r^3 = 1$,which implies $r = 1 \, cm$.Diameter of each sphere $= 2r = 2 	imes 1 = 2 \, cm$.

Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter $2 \, cm$ and height $16 \, cm$. The diameter of each sphere is (in $cm$):

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