If the radius of the circle is increased 3 times, then how many t

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 Multiple Choice QuestionsMultiple Choice Questions

31.

A horse is tethered to a stake by a rope of 30 m long. If the horse moves along the circumference of a circle keeping rope tight, find that how far the horse have gone from initial point if the rope has traced an angle of 105° at the centre ?

  • 55 m

  • 5.5 m

  • 155 m

  • 25 m


32.

Two sheets of paper with measure 22 cm by 28 cm are taken. Each sheet is then rolled into a cylinder, one having the height 22 cm and the other of height 28 cm. The difference in their volumes (in cm3) will be

  • 216

  • 294

  • 316

  • 0


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33.

If the radius of the circle is increased 3 times, then how many times the new circumference increase from its original size ?

  • 3

  • 13

  • 9

  • None of these


A.

3

Let r and r' be the original and new radius. Original circumference = 2πr

New, circumference = 2πr'

As r' = 3r 2πr' = 2π3r= 3, 2πr

So, new circumference will increase 3 times from its original size


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34.

How many bricks will be required to construct a wall 3 m long, 1.5 m high and 0.4 m thick, if each brick measures 30 cm x 15 cm x 8 cm ?

  • 502

  • 550

  • 500

  • 501


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35.

Edges of a cuboid are a, b and c, its volume is V cubic units and its total surface is S sq units. Then,  1V = ? 

  • 12Sa + b+ c

  • 2S1a + 1b + 1c

  • 2Sa + b +c

  • 2Sa + b + c


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