# Surface area of cylinder

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

### Correct answer:

#### 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: video1

## Related math problems and questions:

- Cube diagonals

Determine the volume and surface area of the cube if you know the length of the body diagonal u = 216 cm. - Surface area of the top

A cylinder is three times as high as it is wide. The length of the cylinder’s diagonal is 20 cm. Find the surface area of the top of the cylinder. - Wall diagonal

Calculate the length of wall diagonal of the cube whose surface is 384 cm square. - Lateral surface area

The ratio of the area of the base of the rotary cone to its lateral surface area is 3: 5. Calculate the surface and volume of the cone, if its height v = 4 cm. - Cube into cylinder

If we dip a wooden cube into a barrel with a 40cm radius, the water will rise 10 cm. What is the size of the cube edge? - Cube diagonals

The cube has a wall area of 81 cm square. Calculate the length of its edge, wall, and body diagonal. - Surface and volume - cube

Find the surface and volume of a cube whose wall diagonal is 5 cm long. - Cube wall

The surface of the first cube wall is 64 m^{2}. The second cube area is 40% of the surface of the first cube. Determine the length of the edge of the second cube (x). - Body diagonal - cube

Calculate the surface and cube volume with body diagonal 15 cm long. - Cone and the ratio

The rotational cone has a height 43 cm, and the ratio of the base surface to lateral surface is 5: 7. Calculate the surface of the base and the lateral surface. - Cube 5

The surface of the cube is 15.36 dm^{2}. How will change the surface area of this cube if the length of the edges is reduced by 2 cm? - Cube edge

Determine the edges of the cube when the surface is equal to 37.5 cm square. - Calculate

Calculate the length of the wall diagonal of the cube with an edge 5 cm long. - Rotary bodies

The rotating cone and the rotary cylinder have the same volume of 180 cm^{3}and the same height v = 15 cm. Which of these two bodies has a larger surface area? - Surface of the cylinder

Calculate the surface of the cylinder for which the shell area is Spl = 20 cm^{2}and the height v = 3.5 cm - Rotary cylinder

The rotating cylinder has a surface area of 69.08 cm^{2}. The area of the shell is 62.8 cm^{2}. What is the diameter of the cylinder? - Equilateral cylinder

Equilateral cylinder (height = base diameter; h = 2r) has a volume of V = 199 cm^{3}. Calculate the surface area of the cylinder.