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Plz solve( Radius of ball)

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by mitaliisrani » Sat Aug 21, 2010 12:19 am
A spherical ball, when immersed in a cylinder of base radius 14cm, raises the level of water in the cylinder by 4cm. Find the radius of the ball in cm
A) cuberoot 588
B) cuberoot 147/2
C) Sqrt 94/7
D) cuberoot 147
E) Cannot be determined

Oa is A
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by kvcpk » Sat Aug 21, 2010 12:29 am
mitaliisrani wrote:A spherical ball, when immersed in a cylinder of base radius 14cm, raises the level of water in the cylinder by 4cm. Find the radius of the ball in cm
A) cuberoot 588
B) cuberoot 147/2
C) Sqrt 94/7
D) cuberoot 147
E) Cannot be determined

Oa is A
Volume of water raised= volume of sphere.

Volume of water raised= pi * r^2 * h = pi*14^2 * 4 = 14*8*22

Volume of sphere = 4/3 * pi * r^3
=4/3 * 22/7 * r^3 = 14 * 8 * 22
r^3 = 3/4 * 14 * 14 * 4
r^3 = 3 * 196
r^3 = 588
r = cuberoot(588)

Hope this helps!!
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