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A metallic disc, in the shape of a right circular cylinder, is of height 2.5 mm and base radius 12 cm. Metallic disc is melted and made into a sphere. Calculate the radius of the sphere.

Answer:

**Solution:**

When we convert one solid shape to another, its volume remains the same, no matter how different the new shape is.

Given height of the cylinder, h = 2.5 mm = 0.25 cm

Radius of the cylinder, r = 12 cm

Volume of the cylinder = π r^{2}h

= π 12^{2}×0.25

= π 144×0.25

= 36 π cm^{3}

Let R be the radius of the sphere.

Volume of sphere = (4/3)π R^{3}

Since metallic disc is melted and made into a sphere, their volumes remains same.

(4/3)π R^{3} = 36π

R^{3} = 36×3/4

R^{3} = 27

Taking cube root

R = 3 cm

**Hence the radius of the sphere is 3 cm.**

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