Question

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

Answer 1

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Answer 2

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Question:-

• A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder?

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Answer is

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Step by step explanation:-

Given :-

• Radius of sphere that is 4.2 cm
• Radius of cylinder that is 6 cm

To find :- Hight of cylinder

We know that :-

$volume \: of \: sphere \: = \frac{4}{3} \pi {r}^{3}$

.•. Radius = 4. 2 cm

$⇒ \frac{4}{3} \times \frac{22}{7} \times 4.2 \times 4.2 \times 4.2 \\ \\ ⇒310.46 {cm}^{2}$

We know that

$volume \: of \: cylinder \: = \pi {r}^{2} h$

.•. Radius = 6cm

$⇒ \frac{22}{7} \times 6 \times 6 \times h$

Then

Volume of sphere = volume of cylinder

$⇒ \: 310.46 = \frac{22}{7} \times 36 \times h$