What is the height of a cylinder with a volume of 936pie cubic inches and a diameter of 24 inches

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Respuesta :

erae97 erae97 · Answer 1 · 2016-07-27T18:28:32+02:00

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

V= 936[tex] in^{3} [/tex]
Diameter=24 (for the radius take 24/2)
Radius (r)= 12in

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eudora eudora · Answer 2 · 2019-03-15T18:14:49+01:00

Answer:

Height of the cylinder is 6.5 inches.

Step-by-step explanation:

It is given in the question volume of a cylinder is 936π cubic inches and we have to calculate the height of the cylinder.

Since formula to calculate the volume of a cylinder is

V = πr²h = 936π

Here V is volume

r = radius = (diameter/2) = 24/2 = 12 inches

h = height

By putting these values in the formula

936π = π×(12)²×h

h = 936/144 = 6.5 inches.

Therefore height of the cylinder is 6.5 inches.