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.
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.
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Dec 22, 2024 Last updated |
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