Cylinder diameter height

A cylinder has the same diameter as its height. Calculate these data if the surface is 200 cm². Report the results to the nearest millimeter.

Your answer:

Help us improve! If you spot a mistake, please let let us know. Thank you!

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

algebra

rearrange variables

arithmetic

square root

solid geometry

cylinder
surface area

planimetry

area of a shape

Grade of the word problem

practice for 13 year olds
practice for 14 year olds

We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions:

Cylinder Height from Area
The area of the cylinder shell is 307.72 cm², and the diameter of the figure is 14 cm. Calculate its height to the nearest centimeter.
Height as diameter of base
The rotary cylinder has a height equal to the base diameter and a surface of 471 cm². Calculate the volume of a cylinder.
Rotary cylinder 2
The base circumference of the rotary cylinder has the same length as its height. What is the surface area of the cylinder if its volume is 250 dm³?
Cylinder - area
The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of the cylinder if its volume is 2 m³.
The pipe
The pipe is 1.5 m long. Its outer diameter is 60 cm, inner diameter is 52 cm. Calculate the pipe's weight if the material's density from which it is made is 2 g/cm³. Please round the results to whole kilograms.
Cylinder height
The rotating cylinder has a diameter of 14 cm and a surface of 1,186.92 cm². Calculate the height of the cylinder.
Tin with oil
Tin with oil has the shape of a rotating cylinder whose height is equal to the diameter of its base. The canned surface is 1884 cm². Calculate how many liters of oil are in the tin.