Respuesta :

The volume of a cone can be found by using the equation V=(1/3)(pi*r^2*H). Given the information that H= 6cm and V= 8pi cm^3, the expression is 8pi=(1/3)(pi*r^2*6). (The second picture.)

For this case we have by definition, that the volume of a cone is given by "

[tex]V = \frac {1} {3} \pi * r ^ 2 * h[/tex]

Where:

h: It's the height

r: It is the cone radius

They tell us as data that the volume is 8 [tex]\pi[/tex]and the height is 6 cm, we must find an expression that allows to clear the radius, then:[tex]8 \pi = \frac {1} {3} \pi * r ^ 2 * 6[/tex]

Answer:

Option D

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