Question

The volume of a cone varies jointly with its height and the square of its base radius. A cone has a base radius of 4ft, height of 6 ft, and volume 100.48(cubed feet).

What is volume of a cone with a height of 3ft, and a base radius of 3ft.

Answer 1

since this is a proportion...i'll answer that way..

\[\huge V _{cube} = khr ^{2}\] <----k is the proportionality constant

100.48 = k(6)(4)^2
100.48 = k (6)(16)
100.48 = k (96)

divide both sides...

k = 1.046

so....
V = (1.046)(3)(3)^2
^k ^h ^r

i leave the rest to you yes?

Answer 2

thanks a ton!

Answer 3

<tips hat>