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A cylinder has a diameter of 6 feet. The volume of the cylinder is
36/5 π cubic feet.

Enter the height, in feet, of the cylinder in decimal form. Round your answer to the nearest tenth.

Respuesta :

volume of a cylinder is the area of the base times the height, and the area of the base is πr²
r is half of the diameter, so r=3 in this case
V=π*3²*h=(36/5)π
9h=36/5
h=4/5=0.8 foot
lublana

Answer:

0.8 feet

Step-by-step explanation:

We are given that volume of cylinder=[tex]\frac{36}{5}\pi[/tex]cubic feet

Diameter of a circle=6 feet

We have to find the value of height

Radius of circle=[tex]\frac{6}{2}=3 feet [/tex]

We know that volume of cylinder=[tex]\pi r^2h[/tex]

Substitute the values in the given formula

[tex]\frac{36}{5}\pi=\pi (3)^2 h[/tex]

[tex]h=\frac{36}{5\times 9}[/tex]

[tex]h=\frac{4}{5}[/tex]

[tex]h=0.8[/tex]

Hence, height of cylinder=0.8 feet

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