find the volume of the oblique cylinder below. round your answer to the nearest tenth if necessary. answer…

Explanation:

Step1: Find the radius of the base

The radius $r$ of the base of the cylinder is given as 5 units.

Step2: Find the height of the cylinder

We know that $\tan\theta=\frac{h}{5}$, where $\theta = 50^{\circ}$. So $h = 5\tan50^{\circ}$. Using a calculator, $\tan50^{\circ}\approx1.1918$, then $h\approx5\times1.1918 = 5.959$.

Step3: Use the volume - formula for a cylinder

The volume formula for a cylinder is $V=\pi r^{2}h$. Substitute $r = 5$ and $h\approx5.959$ into the formula. $V=\pi\times5^{2}\times5.959=\pi\times25\times5.959 = 148.975\pi$.

Step4: Calculate the volume

$V\approx148.975\times3.14159\approx468.4$.

Answer:

$468.4$