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Question
A company packages its milk powder in a cylindrical container whose base has a diameter of 14 cm and height 20 cm. The 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, what is the area of the label.
Solution
diameter of cylindrical vessel = 14 cm
Height of vessel = 20 cm
Then radius of the vessel (r) = `14/2`= 7 cm
Then height of this label (h) = 20 − 2 − 2
= 20 − 4
= 16 cm
Its lateral surface area = 2πrh
= `2 × 22/7 × 7 × 16`
= 704
Hence, area of label = 704 cm2
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