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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

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