Question

1. A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder. ​

Answer 1

Answer:

Step-by-step explanation:

Volume of Sphere = 4/3 πr³ = 4/3 * 22/7 * (4.2)³ = 310.464

Volume of Cylinder = πr²h = 310.464

=> 22/7 * (6)² * h = 310.64

=> h = 2.74 cm.

Answer 2

Question

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.

Solution

At first we will find the volume of sphere then we will find the volume of cylinder and after that we will height of the cylinder.

Calculating Volume of Sphere

Radius = 4.2cm

V = 4/3πr³

$\to$V = 4/3π(4.2)³

$\to$V = 4/3×22/7(4.2)

$\to$V = 88/21(4.29)

$\to$V = 310.464cm³

Calculating Volume of Cylinder

Radius = 6cm

V = πr²h

$\to$V = π(6)²h

$\to$V = π(36)h

$\to$V = 22/7(36)h

$\to$V = 113.142h cm³

Calculating Height of Cylinder

Volume of sphere = Volume of cylinder

$\to$310.464 = 113.142h

$\to$h = 319.464/113.142

$\to$h = 2.74cm

$\bf\therefore Height\space of\space Cylinder\space is\space2.74cm.$

Hence, solved!! ✓