A cylinder has a volume of 400 cubic feet. If the height of the cylinder is 25 feet, what is the radius of the cylinder? Use 3. 14 for π and round to the nearest hundredth.

Respuesta :

The radius of the cylinder will be  [tex]r=2.25ft[/tex]

What will be the radius of the cylinder?

It is given that

[tex]Volume of the cylinder = 400 ft^{3}[/tex]

[tex]height of the cylinder= 25 ft^{3}[/tex]

Now we know that

[tex]Volume of the cylinder = \pi r^{2} h[/tex]

putting values in the formula

[tex]400= \pi \times r^{2} \times25[/tex]

[tex]r= \dfrac{4}{\sqrt{3.14} }[/tex]

[tex]r=2.25 ft[/tex]

Thus the radius of the cylinder will be  [tex]r=2.25ft[/tex]

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