Question

50. A metallic sphere of radius 5.6 cm is melted and recast into a shape of cylinder of radius
6 cm. Find the height of cylinder
Section-
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Answer 1

Answer:

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Step-by-step explanation:

radius of sphere = 5.6cm

radius of cylinder = 6cm

volume of sphere = volume of cylinder

$\frac{4}{3} \pi {r}^{3} = \pi {r}^{2} h \\ \frac{4}{3} {(5.6)}^{3} = {(6)}^{2} h \\ h = \frac{4 \times 5.6 \times 5.6 \times 5.6}{3 \times 6 \times 6} \\ h = \frac{702.464}{108} \\ h = 6.5cm$

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