Question 1180594
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The key idea of the solution is the fact that increase of the occupied volume is equal to the volume of the ball.



<pre>
Keeping it in mind, we write this equation


    {{{pi*R^2*(1/3)}}} = {{{(4/3)*pi*r^3}}},


where R is the unknown radius of the cylinder and r is the given radius of the ball.


From this equation


    {{{R^2}}} = {{{4r^3}}} = {{{4*4^3}}} = {{{4^4}}};


hence,   R = {{{sqrt(4^4)}}} = {{{4^2}}} = 16 inches.    <U>ANSWER</U>
</pre>

Solved.


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