question_answer 1)

                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.

Answer:

                For a cylindrical container Diameter of the base = 14 cm    \[\therefore \] Radius of the base \[(r)=\frac{14}{2}\,cm\] Height (h) = 20 cm     \[\therefore \] Curved surface area of the container \[=2\pi rh\] \[=2\times \frac{22}{7}\,\times 7\times 20\] \[=880\,c{{m}^{2}}\] \[\therefore \] Surface area of the label \[=880\,c{{m}^{2}}-2\left( 2\times \frac{22}{7}\,\times 7\times 2 \right)\,c{{m}^{2}}\] \[=880\,c{{m}^{2}}-176\,c{{m}^{2}}\] \[=704\,c{{m}^{2}}\] Hence, the surface area of the label is   \[704\,\,c{{m}^{2}}\].