[tex] \bf \textit{surface area of a cylinder}\\\\
SA=2\pi r(h+r)~~
\begin{cases}
r=radius\\
h=height\\
-----\\
r=7\\
h=2
\end{cases}\implies SA=2\pi (7)(2+7)
\\\\\\
SA=14\pi (9)\implies SA=126\pi [/tex]
The surface area of the cylinder is 126π square units if the radius of the cylinder r is 7 units and height of the cylinder is 2 units, option (D) is correct.
In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
As we can in the figure, the radius of the cylinder r is 7 units and height of the cylinder is 2 units.
r = 7 units
h = 2 units
The surface area of the cylinder is given by:
A=2πrh+2πr²
A=2π(7)(2)+2π(7)²
A = 28π + 98π
A = 126π square units
Thus, the surface area of the cylinder is 126π square units if the radius of the cylinder r is 7 units and height of the cylinder is 2 units option (D) is correct.
Learn more about the cylinder here:
brainly.com/question/3216899
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