| 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 |
A) \[5\frac{17}{27}\]
B) \[5\frac{5}{7}\]
C) \[5\frac{8}{9}\]
D) \[5\frac{25}{27}\]
Correct Answer: D
Solution :
| Let level of water will be increased by h m. |
| Then, \[\pi \times {{(15)}^{2}}\times h=\frac{4}{3}\pi \,{{(10)}^{3}}\] |
| \[\Rightarrow \] \[h=\frac{4}{3}\times \frac{10\times 10\times 10}{15\times 15}=5\frac{25}{27}cm\] |
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