Question

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6cm. find the height of the cylinder​

Answer 1

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Answer 2

SOLUTION :

RADIUS OF SPHERE = 4.2 cm

RADIUS OF CYLINDER = 6cm

VOLUME OF SPHERE = VOLUME OF CYLINDER

$= > \pi {r}^{3} \times \frac{4}{3} = \pi {r}^{2} h \\ \\ = > \pi(4.2) {}^{3} \times \frac{4}{3} = \pi(36)(h) \\ \\ = > 24.696 \times 4 = 36h \\ \\ = > 98.784 = 36h \\ \\ = > \frac{98.784}{36} = h \\ \\ = > h = 2.74 \: m$

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