Question: A cylindrical jar, whose base has a radius of 15 cm, is filled with water upto a height of 20 cm. A solid iron spherical ball of radius 10 cm is dropped in the jar to submerge completely in water. Find the increase in the level of water (in cm) is
Options:
A) $ 5\frac{17}{27} $
B) $ 5\frac{5}{7} $
C) $ 5\frac{8}{9} $
D) $ 5\frac{25}{27} $
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Answer:
Correct Answer: D
Solution:
- Let level of water will be increased by h m.
Then, $ \pi \times {{(15)}^{2}}\times h=\frac{4}{3}\pi ,{{(10)}^{3}} $
$ \Rightarrow $ $ h=\frac{4}{3}\times \frac{10\times 10\times 10}{15\times 15}=5\frac{25}{27}cm $