142k views
3 votes
Using the Cylinder in the picture, find the Lateral Area, the Area of a Single Base, and the TOTAL Surface Arhundredth)2 ft-9 ftLateral Area =Single Base Area =Surface Area =Blank 1:Blank 2:Blank 3:ft²ft²ft²

Using the Cylinder in the picture, find the Lateral Area, the Area of a Single Base-example-1

1 Answer

2 votes

Step-by-step explanation

We are given the following information:


\begin{gathered} Height\text{ }of\text{ }cylinder=9ft \\ Radius\text{ }of\text{ }circle=2ft \end{gathered}

We are required to determine the following:

• The lateral area.

,

• Single base area.

,

• Surface area.

The lateral area can be calculated as:


\begin{gathered} Lateral\text{ }Area=2\pi rh \\ Lateral\text{ }Area=2*(22)/(7)*2*9 \\ Lateral\text{ }Area=(792)/(7)=113.14\text{ }ft^2 \end{gathered}

Hence, the lateral area is 113.14 ft².

The single base can be calculated as:


\begin{gathered} Area=\pi r^2 \\ Area=(22)/(7)*2^2 \\ Area=(88)/(7)=12.57\text{ }ft^2 \end{gathered}

Hence, the single base area is 12.57 ft².

Therefore, the surface area can be calculated as:


\begin{gathered} Surface\text{ }area=lateral\text{ }area+top\text{ }area+base\text{ }area \\ Surface\text{ }area=113.14+12.57+12.57 \\ Surface\text{ }area=138.28\text{ }ft^2 \end{gathered}

Hence, the surface area is 138.28 ft².

User Alino Manzi
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories