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the height of a cone is twice its diameter. the cone has a radius of 3 units. what is the exact volume, in cubic units, of the cone, in terms of pie?

Respuesta :

Hello!

The height is twice the diameter

The diameter is twice the radius

diameter = 3 * 2 = 6

Height = 6 * 2 = 12

The height is 12

The equation for the volume of a cone is

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

V is volume
r is radius
h is height

Put in the values we know

[tex]V = \pi 3^{2} \frac{12}{3} [/tex]

Simplify the equation

[tex]V = \pi 9 * 4[/tex]

Multiply

[tex]V = 36 \pi [/tex]

The answer is [tex]36 \pi [/tex]

Hope this helps!
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