Answer: 3.5 inches
Step-by-step explanation:
Given: The volume of the conical bird feeder = 153.86 cubic inches
The height of the conical bird feeder = 12 inches
We know that the volume of a cone is given by :-
[tex]\text{Volume}=\dfrac{1}{3}\pi r^2h\\\\\Rightarrow\ 153.86=\dfrac{1}{3}(3.14)r^2(12)\\\\\Rightarrow\ r^2=\dfrac{153.86\times3}{(3.14)(12)}\\\\\Rightarrow\ r^2=12.25\\\\\Rightarrow\ r=\sqrt{12.25}=3.5[/tex]
Hence, the radius of the top of the cone= 3.5 inches.
