Question

a sphere of radius 3cm is drawn into a wire of thickness 0.5cm. what is the length of the wire​

Answer 1

Answer:

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Answer 2

The length of the wire is 144 cm.

Step-by-step explanation:

Given : A sphere of radius 3 cm is drawn into a wire of thickness 0.5 cm.

To find : What is the length of the wire​ ?

Solution :

A sphere of radius is  $r_1=3\ cm$

A wire of thickness is $r_2= 0.5\ cm$

Let the length of wire be 'l'.

According to question,

The volume of sphere = Volume of cylindrical wire

$\frac{4}{3}\pi r_1^3=\pi r_2^2 h$

Substitute the value,

$\frac{4}{3}(3)^3= (0.5)^2 l$

$\frac{4}{3}\times 27=0.25l$

$l=\frac{4\times 27}{3\times 0.25}$

$l=144\ cm$

Therefore, the length of the wire is 144 cm.

#Learn more

The radius of a sphere is 3cm it is melted and drawn into a wire of radius 2mm. Find the length of the wire

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