Answer:
Option (3)
Step-by-step explanation:
Volume of the flavored ice that can be filled in the cone = Volume of the ice cone - volume of the spherical piece of bubble gum
Volume of a cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]
where r = radius of the cone
h = height of the cone
Volume of the ice cone = [tex]\frac{1}{3}\pi (3)^2(5)[/tex]
Volume of a sphere = [tex]\frac{4}{3}\pi r^{3}[/tex] [r = radius of the bubble gum]
= [tex]\frac{4}{3}\pi (\frac{1.1}{2}) ^{3}[/tex]
= [tex]\frac{4}{3}\pi (0.55) ^{3}[/tex]
Volume of the flavored ice filled in the cone = [tex]\frac{1}{3}\pi (3)^2(5)-\frac{4}{3}\pi (0.55) ^{3}[/tex]
Therefore, Option (3) will be the answer.
