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
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Answer:
704 sq cm
Step-by-step explanation:
Givenn:
d=14cm and h=20cm
⇒Height of the label =20−2−2=16 cm
⇒Radius =
2
d
=
2
14
=7 cm
⇒Area of the label =2πrh=2×
7
22
×7×16=704 sq cm
Verified answer
Answer:
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.
Step-by-step explanation:
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