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Q.

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.

NCERT Solutions for Class 8 Maths Chapter 11 Mensuration Ex 11.3 Q10

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Detailed Solution

Diameter of cylindrical container , d = 14 cm 

Radius of cylindrical container, r = d2 = 142 = 7 cm 

Height of cylindrical container = 20 cm

Height of the cylindrical label = 20 – (2 + 2) = 16 cm

Curved surface area of label = 2πrh = 2×(227)×7×16 = 704 cm2

Hence, the area of the label is 704 cm2.

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