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Mathematics

The diameter of a garden roller is 1.4 m and it is 2 m long. Find the maximum area covered by it in 50 revolutions ?

Surface Area, Volume, Capacity

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Answer

Given:

Diameter of the roller = 1.4 m

Length of the roller = 2 m

Number of Revolutions = 50

Radius of the roller = 1.42\dfrac{1.4}{2} = 0.7 m

As we know, the curved surface area of cylinder = 2πrh

=2×227×0.7×2=61.67=8.8= 2 \times \dfrac{22}{7} \times 0.7 \times 2 \\[1em] = \dfrac{61.6}{7}\\[1em] = 8.8

The curved surface area of cylinder is 8.8 m2.

Maximum area covered by the roller = Curved surface area x Number of revolutions

= 8.8 x 50

= 440 m2

Hence, the maximum area covered by the garden roller in 50 revolutions is 440 m2.

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