Question

describe an activity to derive the formula for curved surface area and total surface area of a cylinder​

Answer 1

Answer:

c.s.a of cylinder= 2 × 22/7 × h

t.s.a of cylinder = 2 × 22/7× h ( h+r)

Answer 2

Answer:

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SURFACE AREA OF A CYLINDER

• Take a right circular cylinder of radius r units and height h units as in the given figure ( fig. is in attachment )

• Take a strip of a paper of width h units and wrap it exactly once around the cylinder

• unfold the strip shown in the figure ( fig. is in attachment )

We will find that the strip is a rectangle of length ( 2πr ) and breadth ( h )

therefore Area of curved surface of cylinder = area of paper strip ABCD

= l × b

= 2πr × h

Curved surface area / lateral surface area = 2πrh sq . units

Total surface area of cylinder = C.S area + ( 2 area of base )

= 2πrh + 2(πr)²

= 2πrh + 2πr²

= 2πr(h + r ) sq . units

Area of base = Area of circle = πr²

Explanation:

i hope it helps you :)

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