The height of the cone is 4 cm (approx).
Step-by-step explanation:
Given,
The radius (r) of the cone = 4.96 cm
Volume (V) = 102 cm³
To find the height (h) of the cone.
Formula
The volume of a cone V = [tex]\frac{1}{3}[/tex]πr²h
Now,
According to the problem,
[tex]\frac{1}{3}[/tex]πr²h = 102
or, [tex]\frac{1}{3}[/tex]×[tex]\frac{22}{7}[/tex]×(4.96)²h= 102
or, h = [tex]\frac{102X7X3}{4.96^{2}X22 }[/tex]
or, h = 3.95 = 4 (approx)
so,
Height = 4 cm (approx)
