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a cone has a volume of 150.72 cubic millimeters and a height of 9 millimeters what is the radius

Sagot :

MrRoyal

The volume of a cone is the amount of space in the cone

The radius of the cone is 4.00 millimeters

How to determine the radius

The given parameters are:

Volume = 150.72 cubic mL

Height = 9 mL

The volume of a cone is calculated as:

[tex]V = \frac 13 \pi r^2h[/tex]

So, we have:

[tex]150.72 = \frac 13 \pi * r^2 * 9[/tex]

Divide

[tex]150.72 = \pi * r^2 * 3[/tex]

Divide both sides by 3

[tex]50.24 = \pi * r^2[/tex]

Rewrite the equation

[tex]50.24 = \frac{22}{7} * r^2[/tex]

Solve for r^2

[tex]r^2 = 50.24 * \frac{7}{22}[/tex]

Solve for r

[tex]r = 4.00[/tex]

Hence, the radius of the cone is 4.00 millimeters

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