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A cylinder has a radius of 30 ft and a height of 19 ft. What is the exact surface area of the cylinder?

Sagot :

[tex]A=2\pi r(r+h)\\ A=2\pi\cdot30\cdot(30+19)\\ A=60\pi\cdot49\\ A=2940\pi\hbox{ ft}^2[/tex]
[tex]SA=2(pi)rh+2(pi)r^2[/tex]

[tex]SA=2(pi)(30)(19)+2(pi)(30^2)[/tex]

[tex]SA=2(pi)(30)(19)+2(pi)(900)[/tex]

[tex]SA=3581.3+5654.7[/tex]

[tex]SA=9236[/tex]

9236 square feet
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