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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 - Mathematics

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प्रश्न

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.

योग

उत्तर

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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अध्याय 11: Mensuration - Exercise 11.3 [पृष्ठ १८६]

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एनसीईआरटी Mathematics [English] Class 8
अध्याय 11 Mensuration
Exercise 11.3 | Q 10 | पृष्ठ १८६

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