Question 1009591
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The length (L) of the rectangle is the
circumference of the cylinder.
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{{{circumference=(pi)(diameter)}}}
{{{L=(pi)(9cm)}}}
{{{L=28.27cm}}}
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(For area I assume you meant 625 square centimeters)
W=width of rectangle=height of cylinder
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{{{Area=(L)(W)}}}
{{{625cm^2=(28.27cm)(W)}}}
{{{625cm^2/28.27cm=W}}}
{{{22.11cm=W}}}
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The height (H) of the cylinder is 22.11cm, 
the radius (R) is 4.5cm
V=volume of cylinder
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{{{V=pi(R^2)H}}}
{{{V=pi(4.5cm)^2(22.11cm)}}}
{{{V=pi(20.25cm^2)(22.11cm)}}}
{{{V=pi(447.73cm^3)}}}
{{{V=1406.58cm^3}}}
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ANSWER: The height of the cylinder is 22.11cm,
and the volume is 1406.58 cubic centimeters.