# Surface area of cylinder

Determine the lateral surface of the rotary cylinder which is circumscribed cube with edge length 5 cm.

Result

S =  189.612 cm2

#### Solution:

$a=5 \ \\ r=\sqrt{ 2 } \cdot \ a/2=\sqrt{ 2 } \cdot \ 5/2 \doteq 3.5355 \ \\ h=a=5 \ \\ S_{1}=\pi \cdot \ r^2=3.1416 \cdot \ 3.5355^2 \doteq 39.2699 \ \\ S_{2}=2 \pi \cdot \ r \cdot \ h=2 \cdot \ 3.1416 \cdot \ 3.5355 \cdot \ 5 \doteq 111.0721 \ \\ S=2 \cdot \ S_{1} +S_{2}=2 \cdot \ 39.2699 +111.0721 \doteq 189.6119 \doteq 189.612 \ \text{cm}^2$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

#### You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem:

## Next similar math problems:

1. Kitchen
Kitchen roller has a diameter 70 mm and width of 359 mm. How many square millimeters roll on one turn?
2. Greenhouse
Garden plastic greenhouse is shaped half cylinder with a diameter of 6 m and base length 20 m. At least how many m2 of plastic is need to its cover?
3. Cylinder
The cylinder surface is 922 dm2, its height is equal to the radius of the base. Calculate height of this cylinder.
4. Pipe
How long is the pipe with an outside diameter of 1.44 m if his coloring consumed 44 kg of color. 1 kg of color coverage is 9 m2.
5. Concrete pipe
How much will cost cover a 6 m long concrete pipe with an outer radius 1.5 m and inner radius 0.8 meters if 1 m2 paint costs 24 €.
6. Cylinder surface area
Volume of a cylinder whose height is equal to the radius of the base is 678.5 dm3. Calculate its surface area.
7. Cube
The sum of all cube edges is 30cm. Find the surface area of the cube.
8. Wall diagonal
Calculate the length of wall diagonal of the cube whose surface is 384 cm square.
9. Cube edges
The sum of the lengths of the cube edges is 42 cm. Calculate the surface of the cube.
10. Cube surface area
The surface of the cube was originally 216 centimeters square. The surface of the cube has shrunk from 216 to 54 centimeters sq. Calculate how much percent the edge of the cube has decreased.
11. Unknown number
Determine the unknown number, which double of its fourth square is equal the fifth its square.
12. Divisible by 5
How many three-digit odd numbers divisible by 5, which are in place ten's number 3?
13. Holidays - on pool
Children's tickets to the swimming pool stands x € for an adult is € 2 more expensive. There was m children in the swimming pool and adults three times less. How many euros make treasurer for pool entry?
14. Simplify 2
Simplify expression: 5ab-7+3ba-9
15. Greg and Bill
Greg is 18 years old. He is 6 less than 4 times Bill's age. How old is Bill?
16. Cancer
Of the 80 people 50 people ill cancer. What percentage of people isn't ill?
17. Simple equations
Solve system of equations: 5x+3y=5 5x+7y=25