Question

A solid metallic sphere of radius 6 cm is melted and made into a solid cylinder of height 32 em. Find the: (1) radius of the cylinder (ii) curved surface area of the cylinder Taken 3.1

Answer 1

Answer:

The radius of the cylinder = 3 cm,

And, the curved surface area of the cylinder = 192π square cm.

Step-by-step explanation:

When a sphere is melted and made into a cylinder,

Then, the volume of the sphere =

Volume of the cylinder.

Here, the radius of the sphere = 6 cm.

⇒ Volume of the sphere =

$\frac{4}{3} \pi ({6})^{3}$

Now, the height of the cylinder = 32 cm

Let r be the radius of the cylinder.

⇒ Volume of the cylinder =

$\pi {r}^{2} (32)$

Hence, the radius of the cylinder = 3 cm.

Now, the curved surface area of the cylinder =

square cm.