raylener5841
05.04.2020 •
Mathematics
How would you explain to a friend , the process for finding the total surface area of a cylinder using the net of a cylinder?
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Ответ:
The toal surface area of a cylinder is 2πrh+2πr²
Step-by-step explanation:
The "net" of any geometrical shape refers to the two-dimensional equivalents of the three-dimensional object.
e.g. geometrical net of a cylinder would consist of two circles (one each at top and bottom) and a rectangle extending from bottom to the top in a curvilinear manner.
Hence, the Total surface area (TSA) of the cylinder can be found
by considering cylinder to be made of three parts
the circle at the bottomthe circular tube which extends for height "h" of the cylinderthe circle at the top (considering it is closed cylinder)The surface area of a circle (for 2-dimensional figures surface area is the same as area since the thickness factor is 1)= πr²
Since there are two circles= surface area (combined)= 2πr²
Moreover, this circle extends to height h. Hence, the combined surface area of the circle extending to height h (int he forms of the tube)= circumference*height= 2πrh
hence TSA= 2πrh+ 2πr²
Ответ:
The answer is (A)♀️