2 Answers

Monsabre · Answer 1 · 2017-11-15T14:55:12+0000

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)

Shamar Yarde · Answer 2 · 2017-11-20T17:43:51+0000

Answer:
$(4)/(3)\pi r^3$

Explanation:

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

$\text{Volume}=(1)/(3)\pi r^2 h$ , 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:-

$\text{Volume}=(1)/(3)\pi r^2 (4r)=(4)/(3)\pi r^3$

Hence, the volume of the cone in terms of its base radius r =
$(4)/(3)\pi r^3$

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