Answer:
Option (2)
Step-by-step explanation:
Given:
Diameter of the circular base of a cone = 6 feet
Volume of the cone = 176 cubic feet
To Find:
Height of the cone
Solution:
Formula to be used to get the height of the cone,
Volume of cone = [tex]\frac{1}{3}\pi r^{2} h[/tex]
Here, r = Radius of the cone
h = Height of the cone
By substituting the values in the formula,
176 = [tex]\frac{1}{3}\pi (\frac{6}{2})^2(h)[/tex]
176 = 3πh
h = [tex]\frac{176}{3\pi }[/tex]
h = [tex]\frac{176}{3(3.14)}[/tex]
h = 18.68 feet
Therefore, Option (2) is the correct option.
