cylinder
Definition
A cylinder is a three-dimensional shape with two parallel, circular bases and a curved surface that joins the bases. The bases are congruent, meaning that they are the same size and shape. The curved surface is a cylinder's lateral surface.
A cylinder is a prism, meaning that it has a flat base and a top, and the lateral surface is made up of a series of parallel, congruent polygons. In the case of a cylinder, the lateral surface is made up of a series of parallel, congruent circles.
The volume of a cylinder is equal to the area of the base * height. The area of the base is simply the area of a circle, which is pi * r^2, where r is the radius of the circle. The height of a cylinder is the distance between the two bases.
The volume of a cylinder can be calculated using the following formula:
How can the word be used?
The cylinder was used to make a piston.
Different forms of the word
Noun: cylinder (plural: cylinders).
a solid with straight parallel sides and a circular base.
Cylinder solid shape.
Adjective: cylindrical.
Verb: to form into a cylinder.
Etymology
The word "cylinder" comes from the Greek word "kylindros," which means "roller" or "barrel." The Greek word "kylindros" is ultimately derived from the Proto-Indo-European root *kel-, which means "to roll.".
Question
What objects are shaped like a cylinder?
AQA Science Exam Question and Answer
Question:
A cylinder is a common three-dimensional shape with unique properties. Calculate the volume and surface area of a cylinder with a radius of 4 cm and a height of 10 cm.
Answer:
To calculate the volume of a cylinder, we use the formula: Volume = π × Radius² × Height.
In this case, the radius (r) of the cylinder is 4 cm, and the height (h) is 10 cm.
Volume = π × 4 cm × 4 cm × 10 cm = 160π cm³ (approximately 502.65 cm³).
To find the surface area of a cylinder, we use the formula: Surface Area = 2π × Radius × Height + 2π × Radius².
Again, the radius (r) is 4 cm, and the height (h) is 10 cm.
Surface Area = 2π × 4 cm × 10 cm + 2π × 4 cm × 4 cm = 80π cm² (approximately 251.33 cm²).
So, the volume of the cylinder is approximately 502.65 cm³, and the surface area is approximately 251.33 cm² with a radius of 4 cm and a height of 10 cm.