Question

units³
1 / 3 volume of a cylinder = \\(\pi r^2 h\\)
2 / 3 \\(= \pi \cdot 8^2 \cdot 6\\)
\\(= \pi \cdot 64 \cdot 6\\)
\\(= 384\pi\\)
3 / 3 the volume of the cylinder is \\(384\pi\\) units³.
(note that we could also multiply 384 by 3.14 to get 1205.76 units³.)

Explanation:

Step1: Identify cylinder parameters

Radius $r=8$, height $h=6$

Step2: Apply volume formula

$V=\pi r^2 h = \pi \cdot 8^2 \cdot 6$

Step3: Calculate the result

$\pi \cdot 64 \cdot 6 = 384\pi$ (or $384 \times 3.14 = 1205.76$)

Answer:

$384\pi$ units³ (or 1205.76 units³)