Answer:
Option (2)
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 =
![(1)/(3)\pi r^(2) h](https://img.qammunity.org/2021/formulas/physics/college/damngs194cedd35r37g5psf1tndxj59m7d.png)
Here, r = Radius of the cone
h = Height of the cone
By substituting the values in the formula,
176 =
![(1)/(3)\pi ((6)/(2))^2(h)](https://img.qammunity.org/2021/formulas/mathematics/high-school/w8arpt7v2jcqqb72smrw436h010eziflia.png)
176 = 3πh
h =
![(176)/(3\pi )](https://img.qammunity.org/2021/formulas/mathematics/high-school/iolyjhsgsjk65u8vq3a1tqkrpoxambi7xe.png)
h =
![(176)/(3(3.14))](https://img.qammunity.org/2021/formulas/mathematics/high-school/7kgw8oorbwaq3gzd2540u4fzhgr1awiysy.png)
h = 18.68 feet
Therefore, Option (2) is the correct option.