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A Road Roller is Cylindrical in Shape, Its Circular End Has a Diameter of 1.4 M and Its Width is 4 M. It is Used to Level a Play Ground Measuring 70 M × 40 M. Find the Minimum Number of - Mathematics

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प्रश्न

A road roller is cylindrical in shape, its circular end has a diameter of 1.4 m and its width is 4 m. It is used to level a play ground measuring 70 m × 40 m. Find the minimum number of complete revolutions that the roller must take in order to cover the entire ground once.

योग

उत्तर

Curved surface area of the road roller = 2πrh

= 2 x `22/7` x 0.7 x 4 = 17.6 cm2

Area of the play ground = 70 x 40 = 2800 m2
∴ Number of revolutions to cover the entire ground = `2800/17.6 = 159 1/11`

∴ Number of complete revolutions = 160.

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अध्याय 17: Mensuration - Exercise 1

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आईसीएसई Mathematics [English] Class 10
अध्याय 17 Mensuration
Exercise 1 | Q 28
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