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  • 04-05-2021
  • Mathematics
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The cylinder is 20cm high and radius of its circular face is 3cm What is the total perimeter and area of the whole net?

The cylinder is 20cm high and radius of its circular face is 3cm What is the total perimeter and area of the whole net class=

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  • 09-05-2021

Answer: [tex]52\ cm,\ 176.55\ cm^2[/tex]

Step-by-step explanation:

Given

The cylinder is 20 cm high

The radius of the cylinder is [tex]r=3\ cm[/tex]

The total area of the figure is the sum of the rectangle and two circles

[tex]\Rightarrow \text{Perimeter P=}2[h+2r]\\\Rightarrow P=2[20+6]\\\Rightarrow P=52\ cm[/tex]

The total area of the figure is

[tex]\Rightarrow \text{Area A=}h\times 2r+2\pi r^2\\\Rightarrow A=20\times 6+2\times \pi \times 3^2\\\Rightarrow A=120+18\pi\\\Rightarrow A=176.55\ cm^2[/tex]

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