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find the surface area of a cylinder with a height of 20 inches and base radius of 7 inches

Sagot :

SnowyKíng

Given :

  • Height of cylinder, h = 20 inches
  • Radius of cylinder, r = 7 inches

To Find :

  • Surface area of cylinder = ?

Solution :

As, we have :

  • Height of cylinder, h = 20 inches
  • Radius of cylinder, r = 7 inches

To find surface area, we have a formula :

[tex] \Large \underline{\boxed{\tt{Surface \: Area = 2\pi rh+2 \pi r^{2}}}}[/tex]

By filling values :

[tex] \sf : \implies Surface \: Area = 2 \pi (7)(20)+2 \pi (7)^{2}[/tex]

[tex] \sf : \implies Surface \: Area = 280 \pi + 2 \pi (7)(7)[/tex]

[tex] \sf : \implies Surface \: Area = 280 \pi + 98 \pi[/tex]

Now, put value of π = 22/7

[tex] \sf : \implies Surface \: Area = 280\times \dfrac{22}{7} + \cancel{98} \times \dfrac{22}{\cancel{7}}[/tex]

[tex] \sf : \implies Surface \: Area = 40 \times 22 + 14 \times 22[/tex]

[tex] \sf : \implies Surface \: Area = 40 \times 22 + 14 \times 22[/tex]

[tex] \sf : \implies Surface \: Area = 880 + 308[/tex]

[tex] \sf : \implies Surface \: Area = 1188[/tex]

[tex] \Large \underline{\boxed{\tt{Surface \: Area = 1188 \: inches^{2} }}}[/tex]

Hence, Surface area of given cylinder is 1188 inches².

sakinahammad110

Answer:

A≈1187.52in²

Step-by-step explanation:

A=2πrh+2πr2=2·π·7·20+2·π·72≈1187.52202in²

Hope it helps

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