Question

A spherically ball of volume 720 cubic cm is immersed in a half filled tank with length 20cm, breadth 12cm and height 14cm.Find the rise in the water level?

Answer 1

${\mathfrak{\underline{\green{Question:}}}}$

A spherically ball of volume 720 cubic cm is immersed in a half filled tank with length 20cm, breadth 12cm and height 14cm. Find the rise in the water level?

${\mathfrak{\underline{\purple{Solution:}}}}$

As we know,

$\fbox{Volume of cuboid = L × W × H}$

So, the volume of half filled tank will be $\frac{(20×12×14)}{2}$

$\implies{\frac{3360}{2}}$

$\bold{\implies{1680cm³}}$

Now, volume of the ball = $720cm³$

Hence, $20 × 12 × h = 1680 + 720$

$\implies{240h = 2,400}$

$\bold{\implies{h = 10}}$

Now, finding the rise in water level:-

$\implies{h - 10}$

$\implies{14 - 10}$

$\bold{\red{\implies{3cm \: (Ans)}}}$