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

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

Objective

To find the curved surface area and total surface area of a cylinder experimentally.
Prerequisite Knowledge

  • Area of a rectangle.
  • Area of a circle.
  • Concept of surface area of a cylinder.

Materials Required
A white chart paper, a cylinder made of paper, a pair of scissors, a ruler, fevicol.

Procedure

  • Remove the top and bottom circles of the cylinder.
  • Make a vertical cut in the curved surface and lay the cylinder flat to get a rectangle as shown.
  • Measure the length and breadth of the rectangle so formed.
    Lab Manual: Surface Area of a Cylinder | Lab Manuals for Class 10

Observation

  • Top and bottom of cylinders are circles.
    Therefore Area of 2 circles = πr2, where r is the radius of base circle of cylinder
  • Length of rectangle = circumference of base of cylinder = 2πr
  • Breadth of rectangle = height = h
  • Area of rectangle = πr x  h = curved surface area of cylinder
  • Total surface area of cylinder =2πrh + πr2
    = 2πr(h + r)

Result

  • Curved surface area of a cylinder = 2πrh
  • Total surface area of a cylinder = 2πr(h + r)

Learning Outcome
This activity’ clears the concept of curved surface area (lateral surface area) and total surface area of a cylinder.

Activity Time
Calculate the total surface area in terms of radius, where ‘tf represents the diameter of the cylinder.Lab Manual: Surface Area of a Cylinder | Lab Manuals for Class 10

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