SATHEE: Quantitative Aptitude Ques 326

Quantitative Aptitude Ques 326

Question: A cylindrical vessel of diameter 12 cm is partly filled with water. A spherical ball is dropped in it and the water level raised by 1 cm. The diameter of the ball m

Options:

A) 6 cm

B) $ 6\sqrt{3},cm $

C) 3 cm

D) 9 cm

Show Answer

Answer:

Correct Answer: A

Solution:

Volume of spherical ball $ =\frac{4}{3}\pi r^{3} $ and volume of raised water $ =\pi {{( \frac{12}{2} )}^{2}}\times 1=36\pi $ Volume of spherical ball = Volume of raised water

$ \Rightarrow $ $ \frac{4}{3}\pi r^{3}=36\pi $

$ \Rightarrow $ $ 4r^{3}=3\times 36 $
$ \Rightarrow $ $ r^{3}=\frac{3\times 36}{4} $

$ \Rightarrow $ $ r^{3}=3\times 9=27 $

$ \Rightarrow $ $ r^{3}={{(3)}^{3}} $
$ \Rightarrow $ $ r=3 $ So, radius of spherical ball = 3 cm Now, diameter of spherical ball $ =2\times $ Radius $ =2\times 3=6,cm $

Quantitative Aptitude Ques 325

Quantitative Aptitude Ques 327

Quantitative Aptitude Ques 326

Question: A cylindrical vessel of diameter 12 cm is partly filled with water. A spherical ball is dropped in it and the water level raised by 1 cm. The diameter of the ball m

Options:

Answer:

Solution:

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