Answer:
The large cone will hold 53.41 cubic inches more of ice cream.
Explanation:
Since the problem deals with how much ice cream the cones will hold, we are to calculate volumes for the small and large cones.
[tex]\text{Volume of a cone=}\frac{1}{3}\pi r^2h[/tex]Large Cone
Height = 6 inches
Radius = 3 inches
[tex]\begin{gathered} \text{Volume}=\frac{1}{3}\times\pi\times3^2\times6 \\ =18\pi\; in^2 \end{gathered}[/tex]Small Cone
Height = 3 inches
Radius = 1 inches
[tex]\begin{gathered} \text{Volume}=\frac{1}{3}\times\pi\times1^2\times3 \\ =\pi\; in^2 \end{gathered}[/tex]Therefore, the difference in volume
[tex]\begin{gathered} =18\pi-\pi \\ =17\pi \\ =53.41\; in^2 \end{gathered}[/tex]The large cone will hold 53.41 cubic inches more of ice cream.
