# Find the number of metallic circular disc with 1.5 cm base diameter and of height 0.2 cm to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm

**Solution:**

Given, a metallic circular disc with 1.5 cm base diameter and height 0.2 cm

The disc is melted to form a right circular cylinder with height 10 cm and diameter 4.5 cm.

We have to find the number of metallic disc that can be formed.

Given, diameter of disc = 1.5 cm

Radius = 1.5/2 = 0.75 cm

Height of disc = 0.2 cm

Volume of disc = πr²h

=(0.75)²(0.2)π

= 0.1125π cm³

Given, diameter of cylinder = 4.5 cm

Radius = 4.5/2 = 2.25 cm

Height of cylinder = 10 cm

Volume of cylinder = πr²h

= π(2.25)²(10)

= 50.625π cm³

Number of circular disc formed = volume of cylinder / volume of disc

= 50.625π/0.1125π

= 50.625/0.1125

= 450

Therefore, 450 circular disc can be formed.

**✦ Try This: **Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2 cm and height 16 cm. The diameter of each sphere is

**☛ Also Check: **NCERT Solutions for Class 10 Maths Chapter 13

**NCERT Exemplar Class 10 Maths Exercise 12.3 Problem 14**

## Find the number of metallic circular disc with 1.5 cm base diameter and of height 0.2 cm to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm

**Summary:**

450 metallic circular disc with 1.5 cm base diameter and of height 0.2 cm to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm

**☛ Related Questions:**

- An ice cream cone full of ice cream having radius 5 cm and height 10 cm as shown in the Fig.12.10. C . . . .
- Marbles of diameter 1.4 cm are dropped into a cylindrical beaker of diameter 7 cm containing some wa . . . .
- How many spherical lead shots each of diameter 4.2 cm can be obtained from a solid rectangular lead . . . .

visual curriculum