Question

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

Answer 1

A≈1187.52in²

Explanation:

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

Hope it helps

Answer 2

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.