Question

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

Answer 1

Answer:

SA = 96$\pi$ m²

Step-by-step 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

Answer 2

Solution:

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