Question

3. The diameter of metallic sphere is 6cm. It is melted and drawn into the wire having diameter of 0.2 cm. Find the length of the wire.​

Answer 1

Answer:

GIVEN :-

❥ Radius of a metallic sphere (r) = $\frac{d}{2}$

• $\frac{ 6 }{ 2 }$
• 3 cm

❥ Radius of the cross-section (R) = $\frac{d}{2}$

• $\frac{ 0.2 }{ 2 }$
• 0.1 cm

Step-by-step explanation:

❥ Volume of a cylinder = Volume of a metallic sphere

• πR²h = $\frac{4}{3}$ × 3³

• (0.1)²h = $\frac{4}{3}$ × 3³

• h = $\frac{4~×~3~×~3~×~3}{3~×~0.1~×0.1}$

• h = 3600 cm

• $\large\fbox\green{ h \: = \: 36 \: m }$

Therefore, the length of the wire is 36 m