The height of the shorter cone is 6.81cm
What is a cone?
A cone is hollow three-dimensional shape with side lengths that tappers from the base to a point at the vertex.
Analysis:
Let the radius of the first cone be = r
radius of shorter cone = R
height of first cone = h
height of shorter cone = H
if volume of the two cones are same
1/3π[tex]r^{2}[/tex]h = 1/3π[tex]R^{2}[/tex]H
[tex]r^{2}[/tex]h = [tex]R^{2}[/tex]H
H = [tex]r^{2}[/tex]h / [tex]R^{2}[/tex]
H = [tex](8.5)^{2}[/tex]x 10 / [tex](10.3)^{2}[/tex] = 6.81cm
In conclusion, the height of the shorter cone is 6.81cm
Learn more about cones: brainly.com/question/1082469
#SPJ1
