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A cylindrical cakes of 32 Pi cubic inches the radius of a cake is 4 inches what is the height of the cake

Sagot :

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} V=volume\\ r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{cm^3}{32}\\ r=4 \end{cases}\implies 32=\pi 4^2h\implies 32=16\pi h \\\\\\ \cfrac{32}{16\pi }=h\implies \cfrac{2}{\pi }=h\implies 0.64\approx h[/tex]

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