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A cylinder has a volume of 400 cubic feet. If the height of the cylinder is 25 feet, what is the radius of the cylinder? Use 3.14 for π and round to the nearest hundredth.

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Answer:

radius≈ 2.3feet ( approimated to the nearest hundredth)

Explanation:

given that

A cylinder has a volume = 400 cubic feet.

height of the cylinder = 25feet

radius of the cylinder = ?

recall

the formulae for finding the volume of a cylinder = πr²h

so,

the volume of a cylinder = πr²h

the volume of a cylinder = 3.14 × r² × 25

400= 78.5r²

divide both side by the coefficient of r

400/78.5 = r²

5.0955 = r²

squaring both sides

r = √5.0955

r = 2.257feet

radius≈ 2.3feet ( approimated to the nearest hundredth)

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