Judy has a sugar cone and wants to know how many cubic inches of ice cream it will hold if it is filled completely to the top of the cone and no more. The cone has a height of 4.5 inches and a radius of 1.5 inches.

The answer is 10.6 cubic inches.

The formula for a volume of the cone is V = 1/3 π r² h,

where:

V - the volume of the cone,

r - radius of the cone base,

h - height of the cone.

It is given:

h = 4.5 in

r = 1.5 in.

π = 3.14

If:

V = 1/3 π r² h,

Then:

V = 1/3 * 3.14 * (1.5 in) ² * 4.5 in

V = 1/3 * 3.14 * 2.25 * 4.5 in³

V = 10.6 in³

Therefore, Judy's sugar cone can hold 10.6 in³.