Answer: Doubling the radius.
Step-by-step explanation:
The volume of a cone can be found with the following formula:
[tex]V=\frac{1}{3}\pi r^2h[/tex]
Where "r" is the radius and "h" is the height of the cone.
Let's find the volume of the conical tent with a radius of 10.4 feet and a height of 8.4 feet.
Identifiying that:
[tex]r=10.4\ ft\\\\h=8.4\ ft[/tex]
You get this volume:
[tex]V_1=\frac{1}{3}\pi (10.4\ ft)^2(8.4\ ft)\\\\V_1=951.43\ ft^3[/tex]
If you double the radius, the volume of the conical tent will be:
[tex]V_2=\frac{1}{3}\pi (2*10.4\ ft)^2(8.4\ ft)\\\\V_2=3,805.70\ ft^3[/tex]
When you divide both volumes, you get:
[tex]\frac{3,805.70\ ft^3}{951.43\ ft^3}=4[/tex]
Therefore, doubling the radius will quadruple the volume of the tent.
