Answer: [tex]637.5\pi\\\\[/tex] cubic millimeters
We can write this as 637.5pi cubic millimeters
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Explanation:
Plug the radius r = 5 and the height h = 25.5 into the cylinder volume formula below.
[tex]V = \pi*r^2*h\\\\V = \pi*5^2*25.5\\\\V = \pi*25*25.5\\\\V = \pi*637.5\\\\V = 637.5\pi\\\\[/tex]
Despite having a decimal coefficient, this volume expression is exact in terms of pi.
Use something like pi = 3.14 to find the corresponding approximate volume.
The units for the volume are in cubic millimeters which we can abbreviate as mm^3 or [tex]mm^3[/tex]. Think of a cube that's 1 mm by 1 mm by 1 mm.
