Question

Which of the following is the surface area of the right cylinder below?

Answer 1

Answer:

c. 198π units²

Step-by-step explanation:

We have to find the surface area of a cylinder.

We know that surface area of a cylinder= 2πrh+2πr²

where r is the radius

and h is the height of the cylinder.

here h=2 units and r=9 units

Surface area= 2π×9×2+2π×9×9

                   = 198π units²

Hence, correct option is:

 c. 198π units²

Answer 2

The surface area of the right cylinder is $\boxed{198\pi {\text{ uni}}{{\text{t}}^2}}$.

Further explanation:

The formula for the surface area of the cylinder can be expressed as,

 ${\text{Surface area}} = 2\pi r\left( {r + h}\right)$

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.$187{\text{ uni}}{{\text{t}}^2}$  

B.$174{\text{ uni}}{{\text{t}}^2}$  

C.$198{\text{ uni}}{{\text{t}}^2}$  

D.$162{\text{ uni}}{{\text{t}}^2}$

Explanation:

The surface area of the right cylinder can be obtained as follows,

 $\begin{aligned}{\text{Surface area}}&= 2\pi r\left( {r + h}\right)\\&= 2\pi\times \left( 9 \right)\times \left( {9 + 2}\right)\\&= 18\pi \times11\\&= 198\pi\\\end{aligned}$

The surface area of the cylinder is $198\pi {\text{ unit}}{{\text{s}}^2}$.

Option A is not correct as the surface area of the cylindrical is not $187{\text{ uni}}{{\text{t}}^2}$.

Option B is not correctas the surface area of the cylindrical is not $174{\text{ uni}}{{\text{t}}^2}$.

Option C is correct as the surface area of the cylindrical is $198{\text{ uni}}{{\text{t}}^2}$.

Option D is not correct as the surface area of the cylindrical is not  $162{\text{ uni}}{{\text{t}}^2}$.

Hence, the surface area of the right cylinder is $\boxed{198\pi {\text{ uni}}{{\text{t}}^2}}$.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

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.