Question

A metallic sphere of radius 8.4cm is melted and recast into the shape of a cylinder of radius 4cm.show that the height of the cylinder is 49.4cm.​

Answer 1

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Answer :

Height of cylinder is 49.4 cm.

Explanation :

Since we have given that :

=>Radius of sphere = 8.4 cm

=>Radius of cylinder = 4 cm

=>Since it is melted and recast into the

=>shape of cylinder of radius 4 cm.

=>So, Volume of sphere = volume of cylinder

$\frac{3}{4} \pi \: r {1}^{3} = \pi \: r {2}^{3}$

$\frac{4}{3} \times 8.4 \times 8.4 \times 8.4 = 4 \times 4 \times h$

$4 \times 2.8 \times 8.4 \times 8.4 = 16 \times h$

$49.39 = h$

$h = 49.4$

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