Question

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.

Answer 1

Answer:

80$\pi$

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 $= 2\pi rh+2\pi r^2$

where $r {/tex] is the radius (4 feet in this case); and[tex] h {/tex] is the height of the cylinder (6 feet in this case).So putting the given values in this formula, in term of [tex]/pi$ to get:

$= 2\pi rh+2\pi r^2$

$=2*\pi *4*6+2*\pi *4^2\\\\=48\pi +32\pi \\\\=80\pi$

Therefore, the surface area of the given cylinder is 80$\pi$.

Answer 2

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

$Area= 2\pi r(r+h)$

where h= height = 6

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

Now plug these values into above formula

$Area= 2\pi *4(4+3)$

$Area= 2\pi *4(7)$

$Area= 2\pi *28$

$Area= 56\pi$

Hence final answer is

$Area= 56\pi$ square ft