11. What is the height of the cylinder? The figure is not drawn to scale. (1 point)
V = 282.7 in
Please help ASAP

Answer:
The height of the cylinder is 3.6 inch.
Step-by-step explanation:
In the attached figure,
Volume of the cylinder is 282.7 square inches
Radius of the cylinder is 5 inches.
It is required to find the height of the cylinder.
The volume of the cylinder is given by the below formula as :
[tex]V=\pi r^2 h[/tex]
h is height of cylinder
[tex]h=\dfrac{V}{\pi r^2}\\\\h=\dfrac{282.7}{3.14\times (5)^2}\\\\h=3.6\ \text{inch}[/tex]
So, the height of the cylinder is 3.6 inch.
The approximate height of the cylinder is 3.6 inches
The given parameters are:
Radius, r = 5 in
Volume, V = 282.7 cubic in
The volume is calculated using:
V = πr²h
So, we have:
3.14 * 5² * h = 282.7
Evaluate
78.5 * h = 282.7
Divide both sides by 78.5
h = 3.6
Hence, the approximate height of the cylinder is 3.6 inches
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