Question

A cubical tank full of water is emptied in a cylindrical tank. If the edge of the cubical tank
is 77 cm, find the height to which the water rises in the cylinder whose base diameter is 1.4m​

Answer 1

$\boxed{\mathfrak{\red{\fcolorbox{red}{pink}{ AnSwer}}}}$ : 29.64 cm{Approx}

Given,

Edge of cubical tank = 77 cm

Diameter = 1.4 m

To find :

height of the cylinder

How to find :

By using the formula of volume of cube we have to find the radius. Then according to question we have to volume of cube / volume of cylinder and after that by that we will find the height.

Solution :

${ \boxed{\rm \pink {Volume \: of \: cube = \rm{x}^{3} }}}$

$\implies\rm \: {(77)}^{3} = 456533 \: cm$

Now,

A/Q

$\implies \: {\rm \blue { \frac{volume \: of \: cube}{volume \: of \: cylinder} }}$

${ \boxed{\rm \pink{Volume \: of \: cylinder = \rm{\pi r}^{2} h}}}$

$\implies \sf \frac{456533}{\pi r ^{2}h }$

$\implies \sf \: h = \frac{456533}{\pi r ^{2} }$

$\sf \implies \:h = 456533 \times \frac{22}{ \cancel7} \times \cancel7 \times 7$

$\pink \therefore \sf \blue{ h = 29.645 \: cm}$

So, the height of the cylinder = 29.64 cm { Approx }

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$\underline\bold \red {@BrainlyHoney}$

Answer 2

Hope it helps, I don't have to be correct though