Answer:
The radius of the cylinder is [tex]r=6[/tex] meters.
Step-by-step explanation:
To determine:
What is radius?
Information Fetching and Solution Steps:
The volume of the cylinder = 1,921.68 cubic meters
[tex]\pi \approx 3.14[/tex]
The height = 17 m
As the formula of the volume of the cylinder
[tex]V=\:\pi \:r^{2} \:h[/tex]
The radius can be determine as
[tex]r^{2} \:=\:\frac{V}{\pi \:h}[/tex]
[tex]r=\sqrt{\frac{V}{\pi \:\:h}}[/tex]
[tex]\:r=\sqrt{\frac{1921.68}{\left(3.14\right)\:\left(17\right)}}[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]
[tex]r=\sqrt{\frac{1921.68}{3.14\cdot \:17}}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:3.14\cdot \:17=53.38[/tex]
[tex]r=6[/tex] meters
Therefore, the radius of the cylinder is [tex]r=6[/tex] meters.
Keywords: radius of the cylinder, volume of cylinder
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