Question

A copper sphere of diameter 6cm is melted and drawn into 36cm long
wire of uniform circular cross- section. Then, its radius is​

Answer 1

Answer:

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Answer 2

Answer:

The radius of wire is 1 cm

Step-by-step explanation:

Diameter of sphere = 6 cm

Radius of sphere =\frac{6}{2} = 3 cm

2

6

=3cm

Volume of sphere =\frac{4}{3} \pi r^3 = \frac{4}{3} \pi (3)^3

3

4

πr

3

=

3

4

π(3)

3

Length of wire = 36 cm

Let the radius of wire be R

Volume of cylinder = \pi r^2 h = \frac{22}{7} \times R^2 \times 36πr

2

h=

7

22

×R

2

×36

\begin{gathered}\pi \times R^2 \times 36 = \frac{4}{3} \pi (3)^3\\R^2 \times 36 = \frac{4}{3}(3)^3\\R^2=\frac{\frac{4}{3}(3)^3}{36}\\R=\sqrt{\frac{\frac{4}{3}(3)^3}{36}}\\R=1\end{gathered}

π×R

2

×36=

3

4

π(3)

3

R

2

×36=

3

4

(3)

3

R

2

=

36

3

4

(3)

3

R=

36

3

4

(3)

3

R=1

Hence The radius of wire is 1 cm

The diameter of a metallic sphere is 6cm. its melted and drawn into a wire having diameter of cross section 0.2cm find the length of the cross section....

may it helps you.