Respuesta :

apologiabiology
Vcone=1/3(hpir^2)
h is 2 times diameter
diameter is 2 times radius
h is 4 times radius
h=4r
sub 4r for h

V=1/3(4rpir^2)
V=1/3(4pir^3)

JeanaShupp

Answer: [tex]\dfrac{4}{3}\pi r^3[/tex]

Step-by-step explanation:

We know that the volume of a cone is given by :-

[tex]\text{Volume}=\dfrac{1}{3}\pi r^2 h[/tex], where r is radius and h is height of the cone.

Given: Height of cone  = 2(2r)=4r , where 2r is the diameter of the cone with radiis r.

Then , the volume of the cone will be:-

[tex]\text{Volume}=\dfrac{1}{3}\pi r^2 (4r)=\dfrac{4}{3}\pi r^3[/tex]

Hence, the  volume of the cone in terms of its base radius r = [tex]\dfrac{4}{3}\pi r^3[/tex]

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