Question

A cylindrical bucker with base radius $15cm$ is filled with water up to a height of $20cm$. A heavy iron spherical ball of radius $9cm$ is dropped into the bucket to submerge completely in the water. find the increase in the level of water

• A. $4.32cm$
• B. $5.42cm$
• C. $6.54cm$
• D. $7.62cm$

Answer 1

The correct option is A $4.32cm$

Volume of water risen = volume of ball

$\Rightarrow \pi (15{)}^{2}h=\frac{4}{3}\pi (9{)}^3$

$\Rightarrow h=\frac{4\times 9\times 9\times 9}{3\times 15\times 15}=4.32$ cm