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
#SPJ5