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?

Answer 1

WELCOME TO OS !!!!

so are you just writing an expression?

Answer 2

the volume of a cone is given by (1/3) *pi*r^2* h
where r = radius of the base and h = the height

Answer 3

diameter = twice the radius
so if the height is twice the diameter
what is the relation between the height and the radius?
can you figure that out?

Answer 4

No, I'm doing this plato learning thing for credit recovery, I do not understand it at all.

Answer 5

OK
lets call the diameter d
so

d= 2r
and
h = 2d

therefore h = 2(2r) = 4r

Answer 6

the height is 4 times the radius of the base

OK?

Answer 7

Ok, I understand it better, it's just that Geometry is not my thing.

Answer 8

so if we replace the h in the formula for the volume by 4r we'll have what's required
Vol = (1/3) pi r^2 * h
= (1/3) pi r^2 * 4r
= (1/3) pi r^3 * 4
= (4/3) pi r^3

Answer 9

Thank you.

Answer 10

yw