Question

Find the total surface area of a cylinder that has a diameter of 4.7 m and a height 12 m

Answer 1

Find the total surface area of a cylinder that has a diameter of 4.7 m and a height 12 m​

we know that

the surface area of a cylinder is equal to

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

where

r is the radius of the circular base

h is the height of cylinder

In this problem we have

r=D/2 -----> teh radius is half the diameter

r=4.7/2

r=2.35 m

h=12 m

substitute the given values

`\begin{gathered} SA=2\pi(2.35)^2+2\pi(2.35)(12) \\ SA=11.045\pi+56.4\pi \\ SA=67.445\pi\text{ m\textasciicircum{}2} \end{gathered}`

therefore

the surface area is equal to

SA=67.445pi square meters