Question

35 points! Find the the surface area of the cylinder in terms of pi.

32pi m^2
80 pi m^2
96 pi m^2

Answer 1

Note that:

• 2πrh + 2πr² = Area of cylinder formula
• Radius = 4 m
• Height = 8 m

Finding the surface area:

• 2πrh + 2πr²
• => 2(π)(4)(8) + 2(π)(4²)
• => 64π + 2(π)(16)
• => 64π + 32π
• => 96π m²

Answer 2

SA = 96
`\pi` m²

Explanation:

Surface area of closed cylinder = 2
`\pi`r² + 2
`\pi`rh

where r is the radius and h is the height

Given:

• r = 4
• h = 8

SA = 2
`\pi`(4)² + 2
`\pi`(4)(8)

⇒ SA = 32
`\pi` + 64
`\pi`

⇒ SA = 96
`\pi` m²