3). A company packages its milk powder in cylindrical containers whose base has a diameter
of 16.8cm and height 20.5 cm.Company places a label around the curved Surface of the
container by leaving 1.5cm from the top and the bottom.
A) Which formula should be used to find the surface area of the label
Answers
Mensuration:
Mensuration is the branch of mathematics which concerns itself with the measurement of Lengths, areas & volume of different geometrical shapes or figures.
Surface area:
The surface area of a solid is the sum of the areas of the plane or curved faces of the solid.
It is measured in square units such as square centimetre (cm²) and square metre (m²).
Whenever we talk about a total surface area of a cylinder the cylinder must be closed at both the ends by two circular regions or it should be a cylindrical solid object.
Total surface area of a solid cylinder= curved surface area + sum of the areas of two circular ends of the cylinder
= 2πrh+ 2πr²
Total surface area of a solid cylinder= 2πr(h+r)
The lateral surface area of the curved surface area of a cylinder= 2πrh
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Solution:
Given:
Diameter of cylindrical container(d) = 14 cm
Radius of cylindrical container (r) = 7 cm
Height of cylindrical container (h)= 20 cm
Height of the label (h) = 20 –(2 +2)= 20 – 4= 16
h= 16 cm
Curved surface area of label = 2πrh
= 2 × 22/7× 7× 16
= 44× 16
= 704 cm²
Hence, the area of the label = 704 cm²
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