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

2 Answers

4 votes

Answer:

A≈1187.52in²

Explanation:

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

Hope it helps

User Christian Vielma
by
6.3k points
11 votes

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 :


\Large \underline{\boxed{\tt{Surface \: Area = 2\pi rh+2 \pi r^(2)}}}

By filling values :


\sf : \implies Surface \: Area = 2 \pi (7)(20)+2 \pi (7)^(2)


\sf : \implies Surface \: Area = 280 \pi + 2 \pi (7)(7)


\sf : \implies Surface \: Area = 280 \pi + 98 \pi

Now, put value of π = 22/7


\sf : \implies Surface \: Area = 280* (22)/(7) + \cancel{98} * \frac{22}{\cancel{7}}


\sf : \implies Surface \: Area = 40 * 22 + 14 * 22


\sf : \implies Surface \: Area = 40 * 22 + 14 * 22


\sf : \implies Surface \: Area = 880 + 308


\sf : \implies Surface \: Area = 1188


\Large \underline{\boxed{\tt{Surface \: Area = 1188 \: inches^(2) }}}

Hence, Surface area of given cylinder is 1188 inches².

User Natosha
by
5.6k points