Question

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

Answer 1

In figure,

Area of the label is Curved surface area of the cylinder.

Radius $r=7cm$

Height of label $\left(h\right)=20cm-2cm-2cm=16cm$

Curved surface area$=2\pi rhc{m}^2$

$=2\pi \times 7\times 16$

$=2\times \frac{22}{7}\times 7\times 16$

$=704c{m}^2$
Therefore, the area of the label is $704c{m}^2$.