25 circular plates, each of radius $ 10.5 \mathrm{~cm} $ and thickness $ 1.6 \mathrm{~cm} $, are placed one above the other to form a solid circular cylinder. Find the curved surface area and the volume of the cylinder so formed.

Given:

25 circular plates, each of radius \( 10.5 \mathrm{~cm} \) and thickness \( 1.6 \mathrm{~cm} \), are placed one above the other to form a solid circular cylinder.

To do:

We have to find the curved surface area and the volume of the cylinder so formed.

Solution:

Radius of each circular plate $r =10.5\ cm$

Thickness of each circular plate $h = 1.6\ cm$

Height of 25 plates placed one above the other $H= 1.6 \times 25$

$= 40\ cm$

Curved surface area of the cylinder so formed $= 2 \pi rH$

$= 2 \times \pi \times 10.5 \times 40$

$= 840 \pi$

$=840\times\frac{22}{7}$

$=120\times22$

$=2640\ cm^2$

Volume of the cylinder $=\pi r^2 H$

$=\pi \times (10.5)^2\times 40$

$= \frac{22}{7}\times110.25\times40$

$= 13860\ cm^3$

The curved surface area and the volume of the cylinder so formed are $2640\ cm^2$ and $13860\ cm^3$ respectively.

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Updated on: 10-Oct-2022

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