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The surface area of a cylinder is 56.52 m2. What is the height, if the radius is 2 meters?

Sagot :

The formula for the Total surface area of a cylinder is 56.52m^2,

This is,

[tex]2\pi r(r+h)=56.52[/tex]

r=3 , so

[tex]\begin{gathered} 2\times\pi\times2(2+h)\text{ = 56.52} \\ 12.57(2+h)=56.52 \\ 2+h=\frac{56.52}{12.57}=\text{ 4.5} \end{gathered}[/tex]

So h = 4.5 - 2 = 2.5 meters.

h= 2.5 meters