Answer:
The height is 18.3 feet
Step-by-step explanation:
Volume of a cone v = [tex]\pi r^{2} \frac{h}{3}[/tex]
If the diameter is 20, and diameter is 2r, that is 2 radius
∴ r = 20/2 = 10 ft
V = 610[tex]\pi[/tex]=[tex]\pi[/tex][tex]10^{2}[/tex][tex]\frac{h}{3}[/tex]
610[tex]\pi[/tex]×3=10²[tex]\pi[/tex]h
1830[tex]\pi[/tex] = 100[tex]\pi[/tex]h
Divide both sides by 100[tex]\pi[/tex]
1830[tex]\pi[/tex]/100[tex]\pi[/tex] = 100[tex]\pi[/tex]h/100[tex]\pi[/tex]
h = 1830[tex]\pi[/tex]/100[tex]\pi[/tex]
h = 18.3 ft
