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Find the surface area of a cylinder with a base diameter of 8ft and a height of 6ft. Write your answer in terms of pi, and be sure to include the correct unit.

Respuesta :

lublana

Given that diameter of the base of the cylinder = 8 ft

Given that height of the cylinder = 6 ft

We have to find the surface area of the cylinder in terms of pi.

So we need to use formula of surface area of the cylinder which is

[tex]Area= 2\pi r(r+h)[/tex]

where h= height = 6

r= radius = diameter/2 = 8/2 = 4

Now plug these values into above formula

[tex]Area= 2\pi *4(4+3)[/tex]

[tex]Area= 2\pi *4(7)[/tex]

[tex]Area= 2\pi *28[/tex]

[tex]Area= 56\pi[/tex]

Hence final answer is

[tex]Area= 56\pi[/tex] square ft

alinakincsem

Answer:

80[tex]\pi[/tex]

Step-by-step explanation:

We are given a cylinder with a base diameter of 8 feet and a height of 6 feet and we supposed to find its surface area.

We know the formula of surface area of cylinder [tex]= 2\pi rh+2\pi r^2[/tex]

where [tex] r {/tex] is the radius (4 feet in this case); and

[tex] h {/tex] is the height of the cylinder (6 feet in this case).

So putting the given values in this formula, in term of [tex]/pi[/tex] to get:

[tex]= 2\pi rh+2\pi r^2[/tex]

[tex]=2*\pi *4*6+2*\pi *4^2\\\\=48\pi +32\pi \\\\=80\pi[/tex]

Therefore, the surface area of the given cylinder is 80[tex]\pi[/tex].

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