Answer :
The volume of the coffee cup is the amount of space in the cup
The volume of the cup is 142.9 cubic centimeters
How to determine the volume?
The given parameters are:
Circumference (C) = 14.4 cm
Height (h) = 8.6 cm
Start by calculating the radius of the base of the cylinder using:
[tex]C = 2\pi r[/tex]
So, we have:
[tex]14.4 = 2\pi r[/tex]
Make r the subject
[tex]r = \frac{14.4}{2\pi}[/tex]
Simplify
r = 2.3
The volume is then calculated as:
[tex]V = \pi r^2 h[/tex]
So, we have:
V = 3.14 * 2.3^2 * 8.6
V = 142.9
Hence, the volume of the cup is 142.9 cubic centimeters
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