Question

SO MANY POINTS! JUST GIVE RIGHT ANSWER!

Answer 1

Option (3)

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 =
`(1)/(3)\pi r^(2)h`

where r = radius of the cone

h = height of the cone

Volume of the ice cone =
`(1)/(3)\pi (3)^2(5)`

Volume of a sphere =
`(4)/(3)\pi r^(3)` [r = radius of the bubble gum]

=
`(4)/(3)\pi ((1.1)/(2)) ^(3)`

=
`(4)/(3)\pi (0.55) ^(3)`

Volume of the flavored ice filled in the cone =
`(1)/(3)\pi (3)^2(5)-(4)/(3)\pi (0.55) ^(3)`

Therefore, Option (3) will be the answer.