A right circular cylinder has a height of 22 1/4 ft and a diameter 2 2/5 times its height. What is the volume of the cylinder? Enter your answer in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth. _ ft³

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tippytoetuesday tippytoetuesday

01-04-2018
Mathematics

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A right circular cylinder has a height of 22 1/4 ft and a diameter 2 2/5 times its height. What is the volume of the cylinder? Enter your answer in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth. _ ft³

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Аноним Аноним · Answer 1 · 2018-04-01T04:48:54+02:00

Since all the fractions are terminating decimals, convert all fractions to decimals for easy working.

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Height :
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Height = 22.25 ft

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Diameter :
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Diameter = 2.4 x 22.25
Diameter = 53.4 ft

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Radius :
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Radius = Diameter ÷ 2
Radius = 53.4 ÷ 2
Radius = 26.7 ft

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Volume :
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Volume of the cylinder = πr²h
Volume of the cylinder = 3.14 x 26.7² x 22.25
Volume of the cylinder = 49806.06 ft² (nearest hundredth)

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Answer : Volume = 49806.06 ft²
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