Question

Pleeeeeeeeaaaseeeeee help meeeeeeee!!!!!!!!!

Answer 1

The correct answer is option B. 96π

Explanation:

Points to remember

Surface area of cylinder = 2πr(r + h)

Where r is the radius of cylinder and h is the height of cylinder.

From the figure we get r = 4 cm and h = 8 cm

To find the surface area of cylinder

Surface area = 2πr(r + h)

= 2π * 4(4 + 8)

= 96π

The correct answer is option B. 96π

Answer 2

Option D.

`A =96\pi\ cm^2`

Explanation:

The area of the circular bases is:

`A_c = 2\pi(a) ^ 2`

Where

`a=4\ cm` is the radius of the circle

Then

`A = 2\pi(4) ^ 2`

`A = 32\pi\ cm^2`

The area of the rectangle is:

`A_r=b * 2\pi r`

Where

`b=8\ cm`

b is the width of the rectangle and
`2\pi r` is the length

Then the area of the rectangle is:

`A_r=8 * 2\pi (4)`

`A_r=64\pi\ cm^2`

Finally the total area is:

`A = A_c + A_r\\\\A = 32\pi\ cm^2 + 64\pi\ cm^2\\\\`

`A =96\pi\ cm^2`