Question

A company packages its milk powder in a cylindrical container whose base has a diameter of 14 cm and height 20 cm. The 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.

Answer 1

diameter of cylindrical vessel = 14 cm

Height of vessel = 20 cm

Then radius of the vessel (r) = `14/2`= 7 cm

Then height of this label (h) = 20 − 2 − 2

= 20 − 4

= 16 cm

Its lateral surface area = 2πrh

= `2 × 22/7 × 7 × 16`

= 704

Hence, area of label = 704 cm²