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Ede4ka [16]
3 years ago
7

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

Mathematics
2 answers:
Fofino [41]3 years ago
7 0

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 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.

Evgen [1.6K]3 years ago
5 0
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)



Hey Braniac! Thanks for your question! Don't forget to rate and give me the brainliest answer! Then, I can help you with all your problems! ^-^ ~

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