What is the height of cylinder with a surface area of 226.08 square meters and a radius of 3 meters? (Use 3.14 for π.) 27 meters
18 meters 3 meters 9 meters
2 answers:
We know that
surface area of cylinder=2*[area of the base]+perimeter of base*height
area of the base=pi*r²
r=3 m
area of the base=pi*3²----> 28.26 m²
perimeter of the base=2*pi*r
r=3 m
perimeter of the base=2*pi*3----> 18.84 m
surface area=226.08 m²
226.08=2*[28.26]+18.84*h----> 18.84*h=226.08-2*28.26
18.84*h=169.56-------> h=169.56/18.84-----> h=9 m
the answer is
9 m
The height is 9, hope this helps you out.
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