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Question

Question: Name the different plane shapes needed to draw the net of a cylinder....

Name the different plane shapes needed to draw the net of a cylinder.

Explanation

Solution

Here we find the shapes used to draw the cylinder with the help of diagrams of a cylinder. We try to break the shape into simpler basic shapes like square, rectangle, circle etc.

Complete step-by-step answer:
We are given a cylinder which has height hh and radius of base rr.
From the figure of cylinder

Since, we have radius of the base in a cylinder means that the base of the cylinder is a circle having the radius rr.

Now for the rest of the part which has a fixed height hhit is formed by a rectangle of length hhand breadth twice the radius i.e. 2r2r.

Therefore, there are two different plane shapes which are required to draw a cylinder which has height hh and radius of base rr are circle and a rectangle.
Additional Information:
A cylinder is a shape which is formed by a combination of a circle on both sides and a rectangle in between them.
It is a curved geometric space which can be seen in our daily life in many things around us. Example: Pen, pipes etc.
Area of a cylinder is given by 2πrh+πr22\pi rh + \pi {r^2} where area of the base is πr2\pi {r^2}.
Volume of a cylinder is given by πr2h\pi {r^2}h.

Note: Alternative method:
By looking at the shape of the cylinder, we try to break it into parts which come under basic shapes.
Here we draw lines which break the diagram into simpler shapes.

Here from the diagram we see the center part is like an empty can which can be formed if we curve a rectangle and both the end sides have circles through which these lines are cutting which are like a lid and a base to the can shaped center part.
So, two basic shapes which are forming a cylinder are circle and rectangle.