Question 1116306
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If to correct all errors in the @josgarithmetic post and to complete calculations, then you will get


<pre>
Volume of water in the bowl   {{{(1/2)(4/3)pi*7^3}}} = {{{(2/3)*7^3*pi}}}


If y is the height of the water filled into the cylinder, then  {{{y*pi*5^2}}} = {{{(2/3)*7^3*pi}}}


y = {{{(2/3)*7^3*(1/5^2)}}} = 9.15 cm.


Since this level of  9.15 cm  is {{{3/4}}} of the cylinder height, 

then the height of the cylinder is {{{(4/3)*9.15}}} = 12.2 cm.
</pre>

Solved and completed.