water..~~~~..

IIT JEE 2015 Forum › Class VII-X Mathematics questions › water..~~~~..

the amount of water contained in a sphere o9f radius 3cm is pour into a cube of 5cm . the height up to which water will rise i the cube is....
a)2 cm
b)3Ï€/4 cm
c)0.5Ï€ cm
d)1.44Ï€ cm
pllzzz the workout as well..
thanku...

#Mathematics #Class VII-X Mathematics

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5 Answers

269

Astha Gupta ·2013-08-28 00:59:26

anyone...?????....

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206

Sayantan Hazra ·2013-08-28 06:02:17

Calculate the volume of water in the sphere, and equate it with the volume of water in the cube....... :)

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206

Sayantan Hazra ·2013-09-02 08:42:16

Still did not get it??

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Astha Gupta no...i cannot get the required equation
Upvote·0· Reply ·2013-09-09 10:57:52
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1

Sayar Chakraborty ·2013-09-10 07:01:54

Volume of a sphere=43Ï€ r³
r=3cm
Volume of the cube filled with water upto height h =5²h
Equating the equations mentioned above,
h=1.44Ï€ cm

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Astha Gupta thanks...
Upvote·0· Reply ·2013-09-10 10:33:26
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69

Angikar Ghosal ·2014-05-18 23:45:02

Volume of the sphere = 43Ï€ * radius³
Therefore,
volume of the aforesaid sphere
= 4 * 22 * 3 * 3 * 33 * 7cm³
= 36Ï€ cm³
Volume of water = 36Ï€ cm³

Area of base of cube = edge² = (5 cm)² = 25 cm²

Therefore,
required height
= 36Ï€ cm³25 cm²
= 4.5257 cm (approximately)

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