Question

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 figure).
If the label is placed 2 cm from the top and bottom
what is the area of the label ?​

Answer 1

$\huge\underline\red{ Solution}$

$\sf Diameter = 14cm$

$\sf \: Radius \: = \: 14 \div 2 = 7cm$

$\sf \: Height \: = \: 20cm$

Hence, height of cylindrical powered milk

$\sf \: = 20 - (2 + 2) = 20 - 4 = 16cm$

Area to be labelledb = curved surface area

$\sf = 2\pi rh = 2 \frac{22}{7} \times 7 \times 16$

$\sf = 44 \times 16cm {}^{2} = 704cm {}^{2}$

Hence, required labelled area = 704cm².

Hope It Helps You!