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January 2018
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The volume of a 3 dimensional solid is the amount of space it occupies.
Since the end (base) of a cylinder is a circle, the area of that circle is given by the formula:
\[area = π r^2\]
The volume of a cylinder is found my multiplying the area of one end of the cylinder by its height. So the formula of the volume of a cylinder is:
\[volume = π r^2 h\]
where:
π is Pi, approximately 3.142 r is the radius of the circular end of the cylinder h height of the cylinder
Our problem involves calculating the volume of Amazon Echo. The height of the Echo is 235mm while the diameter of the base is 84 mm or 8.4cm . Let's first find the area of the base.
The area of the base of Amazon Echo is:
\[area = π r^2\]
\[= 3.142 x 8.4^2\]
= 221.56 cm^2
To calculate the volume, we multiply the area with the height of the Echo, which is 235mm or 23.5cm
So, volume of Alexa Echo = 221.56 * 23.5 = 5,206.6224 cm^3
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