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  • 23-04-2020
  • Mathematics
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The volume of a cone is 7351 cubic millimeters and the height is 5 millimeters. What is the radius of the cone?

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billgkgk
billgkgk billgkgk
  • 23-04-2020

Answer:

The radius of the cone  is 37.47 mm

Step-by-step explanation:

[tex]V= \frac{1}{3}\pi } r^{2}h[/tex]  Substitute values given  V=7351 h=5

[tex]7351 = \frac{1}{3} \pi r^{2}(5)[/tex]  solve for r^2 by dividing volume by [tex]\frac{15.7}{3}[/tex] which is 7351/5.2333 to get

[tex]1404.65=r^{2}[/tex]   Take square root of both sides [tex]\sqrt[2]{1404.65} =37.47[/tex]

r = 37.47

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