The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r? A. IR V = 2 3 V=4 B. Oc. v=1 V = 1/2 v=1 D. 3 .

Question

asked Jun 3, 2021 183k views

1 Answer

Chrischu · Answer 1 · 2021-06-10T01:34:37+0000

Answer:

$(4)/(3) \pi r^3$ .

Explanation:

Let's say that the radius is r. The base diameter is two times the radius, or 2r.

Since the height is two times the diameter, the height is 2 * 2r = 4r.

The volume of a cone is 1/3 * h * pi * r^2. So, the volume of the cone is 1/3 * 4r * pi * r^2 = 1/3 * pi * 4r^3 = 4/3 * pi * r^3.

So, the volume of the cone is
$(4)/(3) \pi r^3$ .

Hope this helps!