Find the Surface Area
Use 3.14 for π. Round to 2 decimal places.
Cylinder Surface Area!
Choose your challenge:
Surface Area of Cylinder Game
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This Surface Area of Cylinder Game is a great way to put your skills to the test in a fun environment. By practicing, you’ll start to work out the answers efficiently.
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Surface Area of Cylinder Game
The Total Surface Area (SA) of a cylinder involves calculating the area of three parts: the two circular bases and the rectangular side (called the lateral area).
SA = 2π r2 + 2 πrh
Scroll down the page for a more detailed explanation.
In this game, you may select “Find Surface Area”, “Find Lateral Area”, “Find Height” or “Mixed Questions”. If you give a wrong answer, the game will provide the correct answer.
Score: 0 / 0
How to Play the Surface Area of Cylinder Game
In the game, you need to find the surface area of a cylinder, find lateral area, or find a missing side when given the surface area.
Here’s how to play:
- Choose your challenge: Select “Find Surface Area”, “Find Lateral Area”, “Find Height” or “Mixed Questions”.
- Find Surface Area: Calculate surface area given the radius and the height.
- Find Lateral Area: Calculate lateral area given the radius and the height.
- Find Height: Calculate a height given the lateral area and the radius.
- Enter Your Answer: Enter in the answer.
- Check Your Work: Click the “Check” button (or press the Enter key). The game will tell you if you’re correct. If you are wrong, you will be shown the correct answer.
- Get a New Problem: Click the “Next” button for a new problem.
Your score is tracked at the top, showing how many you’ve gotten right out of the total you’ve tried. - Back to Menu Click “Menu” to restart the game.
The Surface Area Formula
A cylinder has two main measurements: the radius (r) and the height (h).
The total surface area (SA) is calculated as:
SA = Area of Two Bases + Area of Lateral Side
Let’s break down the components:
1. Area of the Two Bases (2B)
The bases are circles, and the area of one circle is πr<sup<2.
Area of Two Bases} = 2πr<sup<2.
2. Area of the Lateral Side (LA)
If you unroll the curved side of the cylinder, it forms a rectangle.
The rectangle’s width is the cylinder’s height (h).
The rectangle’s length is the distance around the circle, which is the circumference (C = 2πr).
Lateral Area = Circumference × Height
Lateral Area = 2πrh
The Complete Formula
Adding the two components together gives the total surface area:
SA = 2πr<sup<2 + 2πrh
Where:
SA is the Total Surface Area.
r is the radius of the base.
h is the height of the cylinder.
The video gives a clear, step-by-step approach to find the surface area of a cylinder.
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