Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • 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.

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.

Answers (1)

Answer 450

Solution

            Base diameter of disc = 1.5 cm

            Radius of disc =\frac{1.5}{2}=0.75cm

            Height of disc = 0.2 cm

            Volume of disc = \pi r^2 h = (3.14 )(0.75)^2(0.2)

                        = 0.353 cm^3

            Height of required cylinder = 10 cm

            Diameter of required cylinder = 4.5cm

            Radius of required cylinder =\frac{4.5}{2}=2.25cm

            Volume of required cylinder =\pi r^2 h

                        =3.14 \times (2.25)^2(10)

                        =158.96cm^3

            Number of disc =\frac{\text{volume of required cylinder }}{\text{volume of disc}}

                        =\frac{158.96}{0.353}=450

            Hence 450 metallic disc are required to form a right circular cylinder of height 10 cm and diameter 4.5 cm.

                       

Posted by

infoexpert21

View full answer

Similar Questions

Latest Question