Question

A solid hemisphere of radius 18cm is melted and made into solid cylinder of radius of 3 cm height 9 cm.find number of cylinders formed

Answer 1

Radius of the hemisphere =18cm
Radius of the cylinder =3cm
Height of the cylinder =9cm

No:of cylinders = volume of hemisphere/volume of cylinder

Volume of hemisphere=volume of cylinder

Volumes of hemisphere
= 2/3 πr3
=2/3 πx18x18x18
=2 πx6x18x18
=3888 π cm3

Volume of cylinder
= πr2h
= πx3x3x9
=81 π cm3

Therefore, volume of hemisphere/volume of cylinder
=3888/81
=48 cylinders

Answer 2

Answer:

★ 48 Cylinders ★

Step-by-step explanation:

Given:

• Radius of Hemisphere is 18 cm
• Radius of cylinder is 3 cm
• Height of Cylinder is 9 cm

To Find:

• Number of cylinders formed after melting hemisphere.

Solution: We have to find volume of Hemisphere and Cylinder

★ Volume of Hemisphere = 2/3πr³ ★

$\small\implies{\sf }$ 2/3 x π x 18³

$\small\implies{\sf }$ 2/3 x π x 5832

$\small\implies{\sf }$ 2 x π x 1914

$\small\implies{\sf }$ 3888π

★ Volume of Cylinder = πr²h ★

$\small\implies{\sf }$ π x (3)² x 9

$\small\implies{\sf }$ π x 9 x 9

$\small\implies{\sf }$ 81π

• Volume of Cylinder will be equal to the volume of Hemisphere because hemisphere is melted to form cylinders •

$\small\implies{\sf }$ 3888π = 81π

$\small\implies{\sf }$ 3888π/81π

$\small\implies{\sf }$ 48

Hence, 48 cylinders will be formed .