Answered

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A cylinder has a radius of 12 cm and a volume of 1584 cm³.Find the height of the cylinder.height=cm

A Cylinder Has A Radius Of 12 Cm And A Volume Of 1584 CmFind The Height Of The Cylinderheightcm class=

Sagot :

The formula for the Volume(V) of a cylinder is,

[tex]V=πr^2h[/tex]

Given

[tex]\begin{gathered} V=1584\pi cm^3 \\ r=12cm \end{gathered}[/tex]

Therefore,

[tex]\begin{gathered} 1584\pi=\pi(12)^2h \\ \therefore h=\frac{1584\pi}{\pi(12)^2}=11 \end{gathered}[/tex]

Hence,

[tex]h=11cm[/tex]

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