Question

To find experimentaly the surface area of cylinder.​

Answer 1

Answer:

Step-by-step explanation:

To find the surface area of a cylinder add the surface area of each end plus the surface area of the side. Each end is a circle so the surface area of each end is π * r2, where r is the radius of the end. There are two ends so their combinded surface area is 2 π * r2.

Answer 2

Answer:

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 = \pi { r }^{ 2 }, where r is the radius of base circle of cylinder

Length of rectangle = circumference of base of cylinder = 2\pi r

Breadth of rectangle = height = h

Area of rectangle = \pi { r }x h = curved surface area of cylinder

Total surface area of cylinder =2\Pi rh + \pi { r }^{ 2 }

= 2\Pi r(h+r)

Result

Curved surface area of a cylinder = 2\Pi rh

Total surface area of a cylinder = 2\Pi r (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.