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Geometry Set

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Geometry Set

by theachiever » Fri Dec 14, 2012 6:25 am
A cylinder holds 10 liters of water. All of the water is poured into a cube, 50 cm on a side. What is the depth of the water (1 liter equals 1000 cubic cm of water)?

A) 4cm

B) 10cm

C) 40cm

D) 60cm

E) 100cm
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by Anindya Madhudor » Fri Dec 14, 2012 7:19 am
Area of base of cube = 50 *50 =2500 square cm

If depth of water is d, then

2500 * d= 10* 1000
=> d= 4 cm
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by puneetkhurana2000 » Fri Dec 14, 2012 11:09 am
Total Volume = 10*1000 cm^3 = 10000 cm^3

New volume = 50*50*d cm^3

Equating both we get, d = 4 cm.
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