Answer:
The radius of the cone(r) =5.07 inches
Step-by-step explanation:
<em><u>Step(i)</u></em>:-
Given the Volume of a cone is 108 cubic inches
Given height of the cone is '4' inches
<u><em>volume of the cone </em></u>
<em>The volume of the cone is defined by</em>
<em></em>
<em></em>
<em>'r' is the radius of the cone</em>
<em>'h' is the height of the cone</em>
<u><em>Step(ii)</em></u><em>:-</em>
V = 108 cubic inches
h = '4' inches
![V = \frac{1}{3} \pi r^{2} h](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E%7B2%7D%20h)
![\frac{1}{3} \pi r^{2} X 4 =108](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E%7B2%7D%20X%204%20%3D108)
the value of π = 3.14
![r^{2} = \frac{108X3}{4X3.14}](https://tex.z-dn.net/?f=r%5E%7B2%7D%20%3D%20%5Cfrac%7B108X3%7D%7B4X3.14%7D)
![r^{2} =25.79](https://tex.z-dn.net/?f=r%5E%7B2%7D%20%3D25.79)
![r = \sqrt{25.79} =5.07 inches](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B25.79%7D%20%3D5.07%20inches)
<u><em>Conclusion</em></u>:-
<em>The radius of the cone 'r' = 5.07 inches</em>
<em></em>