The surface area of the right cylinder is [tex]\boxed{198\pi {\text{ uni}}{{\text{t}}^2}}[/tex].
Further explanation:
The formula for the surface area of the cylinder can be expressed as,
[tex]{\text{Surface area}} = 2\pi r\left( {r + h}\right)[/tex]
Here, ‘r” represents the radius of the cylinder and “h” represents the height of the cylinder.
Given:
The radius of the cylinder is and the height of the cylinder is .
The options of surface area are given as follows.
A.[tex]187{\text{ uni}}{{\text{t}}^2}[/tex]
B.[tex]174{\text{ uni}}{{\text{t}}^2}[/tex]
C.[tex]198{\text{ uni}}{{\text{t}}^2}[/tex]
D.[tex]162{\text{ uni}}{{\text{t}}^2}[/tex]
Explanation:
The surface area of the right cylinder can be obtained as follows,
[tex]\begin{aligned}{\text{Surface area}}&= 2\pi r\left( {r + h}\right)\\&= 2\pi\times \left( 9 \right)\times \left( {9 + 2}\right)\\&= 18\pi \times11\\&= 198\pi\\\end{aligned}[/tex]
The surface area of the cylinder is [tex]198\pi {\text{ unit}}{{\text{s}}^2}[/tex].
Option A is not correct as the surface area of the cylindrical is not [tex]187{\text{ uni}}{{\text{t}}^2}[/tex].
Option B is not correctas the surface area of the cylindrical is not [tex]174{\text{ uni}}{{\text{t}}^2}[/tex].
Option C is correct as the surface area of the cylindrical is [tex]198{\text{ uni}}{{\text{t}}^2}[/tex].
Option D is not correct as the surface area of the cylindrical is not [tex]162{\text{ uni}}{{\text{t}}^2}[/tex].
Hence, the surface area of the right cylinder is [tex]\boxed{198\pi {\text{ uni}}{{\text{t}}^2}}[/tex].
Learn more:
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Mensuration
Keywords: Cylinder, surface area of the cylinder, curved surface area, volume, right cylinder, 187\pi, height, and radius.
