Suppose the volume of a right circular cylinder is 225 cubic meters and the area of its base is 25 square meters. What is the he
ight of the cylinder?
2 answers:
Volume of a cylinder:

r²h
First we need to find the radius of the cylinder. It's area is 25. We can plug that into the area formula,

r² and solve for r (radius).

r² = 25
Divide both sides by

.
r² = 7.96
Square root both sides.
r = 2.82 meters
Now plug the radius + volume into the volume formula and solve for h.

2.82²h = 225
Divide by

.
2.82²h = 71.62
Divide by 2.82².
h = 9
The height of the cylinder is 9 square meters.
<span>base area = 25 sq meters
area = PI*radius^2
radius = sq root [area / PI]
</span><span>radius = sq root (25/PI)
</span>base radius = <span>2.8209479177 meters
</span><span>
Cylinder Volume = </span><span>π <span>• r² • height
Therefore,
</span></span><span>Cylinder height = Volume / [pi*radius^2]
</span>Cylinder height = 225 / [PI*<span>2.8209479177 ^ 2]
</span>Cylinder height = 225 / [PI *
<span>
<span>
<span>
7.9577471544
</span>
</span>
</span>
]
<span>Cylinder height = 225 / 25
</span><span>Cylinder height = 9 meters
</span>Source:
Formulas
http://www.1728.org/diamform.htm
Calculator
http://www.1728.org/diam.htm
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