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Question

Mathematics Question on Surface Area of Cube, Cuboid and Cylinder

A company packages its milk powder in cylindrical container whose base has a diameter of 14 cm and height 20 cm. Company places a label around the surface of the container (as shown in the figure). If the label is placed 2 cm from top and bottom, what is the area of the label.
milk powder in cylindrical container

Answer

Height of the label = 20 cm - 2 cm - 2 cm
= 16 cm
Radius of the label= (142\frac{14}{2}) cm = 7cm
Label is in the form of a cylinder having its radius and height as 7 cm and 16 cm.
Area of the label = 2π 2\pi (Radius) (Height)
=2×(227)×7×16= 2×(\frac{22}{7})×7×16
= 704

Hence, the area of the label is 704 cm2.