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the volume of a cone is 120 cubic centimeters. the height of the cone is 4.5 centimeters. determine the radius of a cone

Sagot :

given:

[tex]v = 120 \: {cm}^{3} [/tex]

[tex]h = 4.5 \: cm[/tex]

to find:

the radius of the cone.

solution:

[tex]r = \sqrt{3 \frac{v}{\pi \: h} } [/tex]

[tex]r = \sqrt{3 \times \frac{120}{\pi \times 4.5} } [/tex]

[tex]r = 5.04627 \: cm[/tex]

[tex]r = 5.05 \: cm[/tex]

hence, the radius of the given cone is 5.05 centimeters.

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