Question

a solid copper sphere of radius 3cm is melted and electric wire of diameter0. 4cm is made out of the copper obtained. find the length of the wire​

Answer 1

Answer:

900cm

Step-by-step explanation:

volume of sphere =volume of cylinder

because sphere melted to form the cylinder

sphere volume=4/3*πr^3=4/3*π*3*3*3=36π

cylinder volume=π*r^2h=π*0.2*0.2*h=0.04*hπ

36π=0.04*hπ

h=36/0.04=900

h=900

Answer 2

The length of the wire is 900 cm.

Step-by-step explanation:

Given : A solid copper sphere of radius 3 cm is melted and electric wire of diameter 0.4 cm is made out of the copper obtained.

To find : The length of the wire​ ?

Solution :

As sphere is melted in form of electric wire i.e. cylindrical in shape.

So, Volume of sphere = Volume of cylinder

i.e. $\frac{4}{3}\pi r^3=\pi R^2 H$

Here, r=3 cm

and D=0.4 cm ⇒ R=0.2 cm

Substitute the value in the formula,

$\frac{4}{3} (3)^3=(0.2)^2 H$

$H=\frac{4\times 27}{3\times 0.04}$

$H=\frac{108}{0.12}$

$H=900$

The length of the wire is 900 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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