Question

Find the surface area of the cylinder.

PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS HELP THIS IS SO CONFUSING !!

Answer 1

376.990444...
`cm^(2)` or 376.99
`cm^(2)` ( It says in terms of π so your answer is 120 π, sorry :) )

Hope this helps!

Explanation:

To find the surface area of a cylinder you need to find the area of the 2 circles and the area of the rectangle.

The area of a circle is
`\pi` ×
`r^(2)`

So, the area of one circle is
`\pi` × 36 = 113.097335529...

113.097 × 2 = 226.194

The area of the rectangle is 4 × 2
`\pi r` ( circumference of the circle is the rectangle's length )

The area of the rectangle is 4 × 12
`\pi` = 4 × 37.699111... = 150.796444...

Add the area of the rectangle with the area of the 2 circles to get 376.990444...
`cm^(2)`.