What is the height of a tree wose volume is 960m^3 and the girth is 2m?

Question

The volume (V) of wood in a tree varies jointly as the height (h) of the tree and the square of the girth (g). If the volume of a redwood tree is 216m^3 when the height is 30m and the girth is 1.5m.

Answer 1

volume = k*h*g^2

 

216= k*30*1.5^2

 

k= 216/(30*2.25)

 

960 = (216/(30*2.25))*4*h

 

h= 960*30*2.25/(216*4)

 

h= 75 mt