Question

Find the service area of the cylinder in terms of pi

Answer 1

Hello!

The equation we use to find the surface area of a cylinder is


`2 \pi rh+2 \pi r^(2)`

r is the radius
h is the height

Put in the values we know


`2 \pi (6)(12) + 2 \pi (6)^(2)`

Multiply the 2, 6 and 12


`144 \pi +2 \pi 6^(2)`

Square the 6


`144 \pi +2 \pi 36`

Multiply the 2 and 36


`144 \pi +72 \pi`

Add


`216 \pi`

The answer is A)
`216 \pi in^(2)`

Hope this helps!