Question 295688
A cylindrical drum has a diameter of 3 yards and a volume of 65 cubic yards. What is the height of the drum? (Hint: Use V = {{{pi*r^2h}}} )<br>
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<b>Variables Used</b><ul>
	<li>V = volume</li>
	<li>d = diameter</li>
	<li>r = radius</li>
	<li>h = height</li></ul>
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As you stated, the volume of a cylinder is found with {{{ V = pi*r^2h }}} <br>
We know <b>V = 65</b> and we know <i>d = 3</i>. 
Since the radius = 1/2 diameter, (r) = 1 1/2 or 3/2<br>
To separate h, we will change the {{{ V = pi*r^2h }}}:
Divide both sides by {{{ pi*r^2 }}} so
{{{ V/(pi*r^2) = (cross(pi*r^2)h)/cross(pi*r^2) = h }}} so from <br> 
{{{ V/(pi*r^2) = h }}} we substitute 65 for V and 3/2 for r giving us: <br>
{{{ 65/(pi*(3/2)^2) = h }}} giving a decimal approximation of h as 9.1956 yards 
& bob's your uncle!