Question

the diameter of a metallic sphere is 6 cm. The sphere is melted and drawn into a wire of uniform circular cross-section. If the length of the wire is 36 m, then what is its radius equal to ?

Answer 1

Answer:

0.1 cm

Step-by-step explanation:

Diameter of sphere = 6 cm

Radius of sphere = 6 / 2 = 3 cm

Volume of Sphere = 4/3 pi ( 3)^3

Now sphere is melted and drawn into wire

Volume of Sphere = Volume of wire

4/3 pi (3)^4 = pi × r ^2 × 3600

36 pi = r^2× 100X

r^2 = 1 / 100

r = 0.1 cm

HOPE THIS HELPS YOU....

Answer 2

Answer:

0.1

Step-by-step explanation:

$\red{Given}$

Diameter = 6cm , so radius = D/2 = 3cm

Length of wire = 36m = 3600cm

$\purple{SOLUTION}$

Since sphere was meltee to form 3600cm wire . We can conclude that :

$Volume \: OF \: SPHERE = Volume \: OF \: CYLINDER$

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

$\implies \: \pi {r}^{2} \times 3600 = \pi\frac{4}{3} \times {3}^{3}$

$\implies \: {r}^{2} \times 3600 = \frac{4}{ \cancel3} \times \cancel 27$

$\implies \: {r}^{2} \times \frac{ 4\times 9}{3600} \\ = {r}^{2} = \frac{1}{100}$

$\implies \: r = \frac{1}{10}$

$r = 0.1$