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Answer:
[tex]the \: volume \: of \: the \: cylinder \: is \\ \: 72\pi \: cubic \: centimeters[/tex]
Step-by-step explanation:
To find the height and volume of a cylinder with a diameter of 6 cm and a height of 8 cm, we can use the following steps:
[tex]radius \: = \frac{diameter}{2} = \frac{6 \: cm}{2} = 3[/tex]
[tex]volume \: = \pi \times radius {}^{2} \times height[/tex]
[tex]volume \: = \pi \times (3cm) {}^{2} \times 8 \: cm[/tex]
[tex]volume \: = \pi \times 9cm {}^{2} = \times 8 \: cm[/tex]
[tex]volume \: 72\pi \: cm {}^{3} [/tex]