PLEASE HELP!

Find the height of the cylinder below whose volume is approximately thousand cubic inches. Use 3.14 for pi. Round your answer to the nearest hundredth. Show your work.

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PLEASE HELP Find the height of the cylinder below whose volume is approximately thousand cubic inches Use 314 for pi Round your answer to the nearest hundredth class=

Respuesta :

Answer:

≈ 15.73 in

Step-by-step explanation:

Since the volume of a cylinder is [tex]\pi r^{2}[/tex][tex]h[/tex], we can set the equation,

[tex]\pi r^{2}[/tex][tex]h[/tex] = 1000

Since the radius of the circle is 4.5, we square it to get

[tex]20.25 \pi[/tex][tex]h[/tex]= 1000

Dividing by 20.25 on both sides, we get

[tex]\pi h[/tex] ≈ 49.38

Dividing by 3.14 on both sides, we get

[tex]h[/tex] ≈ 15.73 in