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A company packages its milk powder in cy...

A company packages its milk powder in cylindrical container whose base has a diameter of 14 cm and height 20 cm. Company places a label around the surface of the container (as shown in the figure). If the label is placed 2 cm from top and bottom,

Text Solution

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Height of the label h = `20 cm - 2 xx 2 cm `
` 16 cm`
[Subtracting the `2 cm` gaps from top and bottom]
Radius of the label = `14/2 cm`
`7 cm`
Label is in the form of a cylinder having its radius and height as` 7 cm` an `16 cm` respectively.
Area of the label = Lateral surface area of the cylinder = `2pirh`
`2 × 22/7 × 7 cm × 16 cm`
`704 cm^2`
Thus, the area of the label is `704 cm^2`.
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