advanilorraine advanilorraine
  • 24-05-2021
  • Mathematics
contestada

A cylinder has a height of 9 inches. Its volume is 4,775.94 cubic inches l. What is the radius of the cylinder

Respuesta :

whitneytr12
whitneytr12 whitneytr12
  • 29-05-2021

Answer:

The radius of the cylinder is 13.0 inches.

Step-by-step explanation:

The volume of a cylinder is given by:

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

Where:

V: is the volume = 4775.94 in³

r: is the radius =?

h: is the height = 9 in

Hence, by solving the above equation for "r" we have:

[tex] r = \sqrt{\frac{V}{\pi h}} = \sqrt{\frac{4775.94 in^{3}}{\pi 9 in}} = 13.0 in [/tex]                    

Therefore, the radius of the cylinder is 13.0 inches.

I hope it helps you!

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