Name the different plane shapes needed to draw the net of a cylinder.
Answer
663.9k+ views
Hint: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 \[h\] and radius of base \[r\].
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 \[r\].
Now for the rest of the part which has a fixed height \[h\]it is formed by a rectangle of length \[h\]and breadth twice the radius i.e. \[2r\].
Therefore, there are two different plane shapes which are required to draw a cylinder which has height \[h\] and radius of base \[r\] 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 \[2\pi rh + \pi {r^2}\] where area of the base is \[\pi {r^2}\].
Volume of a cylinder is given by \[\pi {r^2}h\].
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.
Complete step-by-step answer:
We are given a cylinder which has height \[h\] and radius of base \[r\].
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 \[r\].
Now for the rest of the part which has a fixed height \[h\]it is formed by a rectangle of length \[h\]and breadth twice the radius i.e. \[2r\].
Therefore, there are two different plane shapes which are required to draw a cylinder which has height \[h\] and radius of base \[r\] 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 \[2\pi rh + \pi {r^2}\] where area of the base is \[\pi {r^2}\].
Volume of a cylinder is given by \[\pi {r^2}h\].
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.
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