Question

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

Answer 1

The formula for the surface area of a right cylinder is 2πrh + 2πr^2. r is the radius, and h is the height.


In this instance, the radius is 4, so plug that in for r. (I.E. Replace r with 4).


The formula is now 2π4h + 2π4^2.


Next, plug in the height, 8 for h.



Now we have 2π4(8) + 2π4^2, which is approximately 301.59.


The surface area is 301.59. (Unit of measure was not specified)



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Answer 2

The surface area of the right cylinder is $\boxed{1106.29{\text{uni}}{{\text{t}}^2}}.$

Further explanation:

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

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

Here, “r” represents the radius of the cylinder and “h” represents the height of the cylinder.

Given:

The radius of the cylinder is ${\text{8 units}}$ and the height of the cylinder is ${\text{14 units}}.$

Explanation:

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

$\begin{aligned}{\text{Surface area}}&=2\pi r\left( {r + h} \right)\\&= 2\pi\times \left( 8 \right) \times \left( {8 + 14} \right)\\&= 16\pi\times 22\\&= 352\pi\\\end{aligned}$

Substitute $\dfrac{{22}}{7}$ for $\pi$ in above equation.

$\begin{aligned}{\text{Surface Area}} &= 352\times \frac{{22}}{7}\\&= \frac{{7744}}{7}\\&= 1106.29{\text{uni}}{{\text{t}}^2}\\\end{aligned}$

The surface area of the right cylinder is $\boxed{1106.29{\text{uni}}{{\text{t}}^2}}.$

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 https://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, height of the cylinder, and radius of the cylinder.