Question

Which equation can be used to find the surface area of the cylinder?

d= 6 cm
h = 14 cm
S = 27114)? +2 (14)(6)
S=2(3)+2(3)(14)
S = 276)2 + 2 546)(14)
S-2013)² + 2 013)(14)

Answer 1

`Area=[2(3)(14)+2(3)^2]\pi` .

Explanation:

From the given figure it is clear that

Height of the cylinder:
`h=14\text{ cm}`

Diameter of the cylinder:
`d=6\text{ cm}`

Radius of the cylinder:
`r=(d)/(2)=(6)/(2)=3\text{ cm}`

We know that,

`Area=2\pi rh+2\pi r^2`

Substitute r=3 and h=14 in the above formula.

`Area=2\pi (3)(14)+2\pi (3)^2`

`Area=[2(3)(14)+2(3)^2]\pi`

Therefore, the required equation is
`Area=[2(3)(14)+2(3)^2]\pi` .