a science teacher uses a clear, plastic cylinder for a class experiment. the cylinder has a radius of 3.5…

Explanation:

Step1: Recall volume formula

The volume formula for a cylinder is $V = \pi r^{2}h$, where $r$ is the radius and $h$ is the height.

Step2: Substitute values

Given $r = 3.5$ inches and $h=22$ inches. Substitute into the formula: $V=\pi\times(3.5)^{2}\times22$. First, calculate $(3.5)^{2}=3.5\times3.5 = 12.25$. Then $V=\pi\times12.25\times22$. $12.25\times22 = 269.5$, so $V = 269.5\pi$.

Step3: Calculate the value

Using $\pi\approx3.14$, we have $V\approx269.5\times3.14 = 845.23$.

Step4: Round to nearest tenth

Rounding $845.23$ to the nearest tenth gives $845.2$.

Answer:

$845.2$