Respuesta :

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

How to determine the height?

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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