SSC (English Medium) Class 8Maharashtra State Board
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Find the Area of the Sheet Required to Make a Cylindrical Container Which is Open at One Side and Whose Diameter is 28 Cm and Height is 20 Cm. - SSC (English Medium) Class 8 - Mathematics

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Question

Find the area of the sheet required to make a cylindrical container which is open at one side and whose diameter is 28 cm and height is 20 cm. Find the approximate area of the sheet required to make a lid of height 2 cm for this container.

Solution

Diameter = 28 cm
Radius = 14 cm
Height = 20 cm
Curved surface area of the cylinder + area of the base = area of the sheet 

⇒ Area of sheet = 2π rh + πr²

⇒ Area of sheet = rh (2h + r)

⇒ Area of sheet = `22/7 xx 14 ( 2xx 2 xx 14)`

⇒ Area of sheet = 2376

Thus, area of sheet required = 2376 cm
Area of sheet required to make a lid of height 2 cm will be

⇒ Area of sheet = 2π rh + πr²

= rh (2h + r)

= `22/7 xx 14 ( 2xx 20 xx 14)`

= 44 x 18

= 792

Thus, area of sheet used to make the lid is 792 sq cm.

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APPEARS IN

 Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 16: Surface area and Volume
Practice Set 16.2 | Q: 4 | Page no. 111
Solution Find the Area of the Sheet Required to Make a Cylindrical Container Which is Open at One Side and Whose Diameter is 28 Cm and Height is 20 Cm. Concept: Surface Area of Cylinder.
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