Question

Surface Area of Cylinder=2πrh+2πr2

Where r is the radius of the cylinder and h is the height of the cylinder.
Find the surface area when r is 8 inches and h is 8 inches.
A. 160π in²
B. 154π in²
C. 288π in²
D. 256π in²

Answer 1

• Find the surface area when r is 8 inches and h is 8 inches.

`\qquad` A. 160π in²

`\qquad` B. 154π in²

`\qquad` C. 288π in²

`\qquad` D. 256π in² ☑

We are given –

`\qquad` ⇢Radius of cylinder , r = 8 inches

`\qquad`⇢ Height of cylinder, h = 8 inches.

We are asked to find surface area of the given cylinder.

Formula to find the surface cylinder given by –

`\bf \star \pink{ Surface\: Area_((Cylinder)) = 2\pi rh +2\pi r^2 }`

Now, Substitute given values –

`\sf \twoheadrightarrow Surface\: Area_((Cylinder)) = 2\pi rh +2\pi r^2`

`\sf \twoheadrightarrow Surface\: Area_((Cylinder)) = 2 \pi * 8 * 8 + 2\pi * 8^2`

`\sf \twoheadrightarrow Surface\: Area_((Cylinder)) = 2 \pi * 8^2 + 2\pi * 8^2`

`\sf \twoheadrightarrow Surface\: Area_((Cylinder)) = 2\pi * 64 +2\pi * 64`

`\sf \twoheadrightarrow Surface\: Area_((Cylinder)) =128 \pi + 128\pi`

`\purple{\bf \twoheadrightarrow Surface\: Area_((Cylinder)) = 256\pi \: in^2 }`

• Henceforth,Option D is the correct answer.