Question

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? V = r2 V = r3 V = r3 V = r2

Answer 1

Hello!

The height is twice the diameter

h = 2d

The diameter is double the radius

2d = 4r

We use the equation the find the volume of a cone

$V = \frac{1}{3} \pi r^{2} h$

$V= \frac{1}{3} \pi r^{2} *4r$

$V = \frac{4}{3} \pi r^{3}$

The answer is $V = \frac{4}{3} \pi r^{3}$

Hope this helps!