Respuesta :

height (h) = 6.0 inches ( to nearest tenth)

The formula for calculating volume (V) of a cylinder is

V = πr²h → ( r is radius and h is height)

given V = 384π then

πr²h = 384π

divide both sides by π

r²h = 384

8²h = 384

64h = 384

divide both sides by 64

h = [tex]\frac{384}{64}[/tex] = 6



The height of the given cylinder will be H = 6 inches.

What is the height?

The height is a vertical distance between two points. Here we have a cylinder having a volume of 384π cubic inches and a radius of the cylinder is 8 inches.

The height of the cylinder will be calculated as:-

height (h) = 6.0 inches ( to nearest tenth)

The formula for calculating the volume (V) of a cylinder is

V = πr²h → ( r is the radius and h is the height)

given V = 384π then

πr²h    =    384π

divide both sides by π

r²h     =    384

8²h    =   384

64h   =  384

divide both sides by 64

h = [tex]\frac{384}{64}[/tex]= 6 inches

Therefore the height of the given cylinder will be H = 6 inches.

To know more about height follow

https://brainly.com/question/1739912

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