Question

The diameter of a sphere is 42cm.It is melted and drawn in to a cylindrical wire 28cm diameter.Find the length of the wire

Answer 1

you can find the full solution here in the image
hope it helps you

Answer 2

Answer:

63 cm

Step-by-step explanation:

Diameter of sphere = 42 cm

Radius of sphere = 42/2 = 21 cm

Volume of Sphere = $\frac{4}{3} \pi r^{3}$

                              = $\frac{4}{3} \pi (21)^{3}$

Diameter of cylinder = 28 cm

Radius of cylinder = 28/2=14 cm

Volume of cylinder = $\pi r^{2}h$

                                = $\pi (14)^{2}h$

Since we are given that sphere is melted and drawn in to a cylindrical wire .

So, Volume will remain same .

$\frac{4}{3} \pi (21)^{3}=\pi (14)^{2}h$

$12348=196h$

$\frac{12348}{196}=h$

$63=h$

Thus the length of wire is 63 cm.