shelbyjeffery04 shelbyjeffery04
  • 27-05-2021
  • Mathematics
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Find the missing dimension of the cylinder. Round your answer to the nearest hundredth.

Find the missing dimension of the cylinder Round your answer to the nearest hundredth class=

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Corsaquix
Corsaquix Corsaquix
  • 27-05-2021

Answer:

[tex]11.04\:\mathrm{ft}[/tex]

Step-by-step explanation:

The volume of a cylinder is given by [tex]V=r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the circle that acts as the base of the cylinder and [tex]h[/tex] is the height of the cylinder.

Solving for [tex]h[/tex]:

[tex]3000=9.3^2\pi\cdot h,\\h=\frac{3000}{9.3^2\pi}\approx\boxed{11.04\:\mathrm{ft}}[/tex]

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