Respuesta :

calculista

Answer:

[tex]h=8\ cm[/tex]

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

[tex]V=\pi r^{2} h[/tex]

where

r is the radius of the base of cylinder

h is the height of the cylinder

In this problem we have

[tex]r=6\ cm\\V=904.78\ cm^{3}[/tex]

substitute the values and solve for h

[tex]904.78=\pi (6)^{2}h[/tex]

[tex]h=904.78/(\pi (6)^{2})[/tex]

[tex]h=8\ cm[/tex]

The height of the cylinder in the diagram is 8 cm whose radius is 6 cm and the volume of the cylinder is 904.78 cubic centimeters.

What is a cylinder?

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We have a volume of a cylinder V = 904.78 cm³

And the radius of the cylinder r = 6 cm

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

Where h is the height of the cylinder.

[tex]\rm 904.78 = \pi \times (6)^2\times h[/tex]    (V = 904.78 cm³ and r = 6 cm)

904.78 = 36πh

25.1327 = πh        (divide by 36 on both sides)

h = 8 cm               (divide by π on both sides)

Thus, the height of the cylinder in the diagram is 8 cm.

Learn more about the cylinder here:

https://brainly.com/question/3216899

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