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
Solution:
Visually, area of the label on the cylinder will be equal to the lateral surface area of the container excluding the area covered by 2 cm gaps from top and bottom.
Height of the label h = 20 cm - 2 × 2 cm = 16 cm [Subtracting the 2 cm gaps from top and bottom]
Radius of the label = 14/2 cm = 7 cm
Label is in the form of a cylinder having its radius and height as 7 cm an 16 cm respectively.
Area of the label = Lateral surface area of the cylinder = 2πrh
= 2 × 22/7 × 7 cm × 16 cm
= 704 cm²
Thus, the area of the label is 704 cm².
☛ Check: NCERT Solutions for Class 8 Maths Chapter 11
Video Solution:
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.
Maths NCERT Solutions Class 8 Chapter 11 Exercise 11.3 Question 10
Summary:
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, the required area of the label is 704 cm².
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