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 $
BETA
