Answer:
height = 6 cm
Step-by-step explanation:
The volume (V) of a cone is calculated as
V = [tex]\frac{1}{3}[/tex]πr²h ( r is the radius and h the height )
Here V = 100.48 and r = 4, thus
[tex]\frac{1}{3}[/tex]π × 4²h = 100.48
Multiply both sides by 3 to clear the fraction
3.14 × 16h = 301.44 ( divide both sides by 3.14 × 16 )
h = [tex]\frac{301,44}{3.14(16)}[/tex] = 6 cm
