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2. A cylindrical trash can with an open top will be painted. If the radius of the cylinder is 3 in, and the height is 10 in, how much surface area will be painted?​

Sagot :

[tex]\sf{Radius \: of \: cylinder = 3 inch}[/tex]

[tex]\sf{Height \: of \: cylinder = 10 inch}[/tex]

[tex]\sf{To \: find: \: Surface \: area}[/tex]

[tex]\sf{Solution:}[/tex]

[tex]\sf{ = \frac{2 \times 22}{7} \times 3 \times 10 + \frac{2 \times 22}{7} \times {3}^{2}} \\ [/tex]

[tex]\sf{ = \frac{1320}{7} + \frac{396}{7}} \\ [/tex]

[tex]\sf{ = \frac{1716}{7}} \\ [/tex]

[tex]= \sf\underline{245.14inch^{2} }[/tex]