Class 10 Exam  >  Class 10 Notes  >  Lab Manuals for Class 10  >  Lab Manual: Volume of a Cylinder

Lab Manual: Volume of a Cylinder | Lab Manuals for Class 10 PDF Download

Objective

To get the formula for the volume of a right circular cylinder in terms of its height and base radius experimentally.
Prerequisite Knowledge

  • Circumference of circle
  • Volume of cuboid

Materials Required
Plastic clay, cutter, thermocol.

Procedure

  • Make a cylinder of plastic clay of height say ‘h’ and base ‘A circle of radius r.
    Lab Manual: Volume of a Cylinder | Lab Manuals for Class 10
  • Cut the cylinder into 8 equal sectoral section with the help of cutter.
    Lab Manual: Volume of a Cylinder | Lab Manuals for Class 10
  • Place the sectoral segments alternatively to form a solid cuboid.
    Lab Manual: Volume of a Cylinder | Lab Manuals for Class 10

Observation

  • Combine cut out form a cuboid of height h and breadth r, i.e., height of cuboid = height of cylinder;
    breadth of cuboid = radius of cylinder.
  • The length of the cuboid = 1/2 of the circumference of base of cylinder.
  • Volume of cuboid = Volume of cylinder.
    V = l  x  b  x  h = 1/2  x  2πr  x  r  x  h = πr2h

Result
Thus the volume of cylinder is πr2h.

Learning Outcome
Students will learn how to get the formula for the volume of a cylinder with given height and base radius experimentally.

Activity Time
Make a cylinder of height 10 cm and radius 7 cm. Also make a cone of same height and same radius. Find the relation between their volumes.

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