Rowan is taking his siblings to get ice cream. They can't decide whether to get a cone or a cup because they want to get the most ice cream for their money. If w = 2.5 in, x = 5 in, y = 5 in, z = 3 in, and the cone and cup are filled evenly to the top with no overlap, which container will hold the most ice cream? Use 3.14 for π, and round your answer to the nearest tenth. The cup holds 26.2 in3 more ice cream than the cone. The cone holds 26.2 in3 more ice cream than the cup. The cup holds 32.7 in3 more ice cream than the cone. The cone holds 32.7 in3 more ice cream than the cup.

the first choice is the one you want

step-by-step explanation:

you need to find the volume of each of these containers.   the volume for the cone is

with

r = 2.5 and h = 5.   filling in

and the volume of the cone is

32.7 cubic inches.  

the volume for the cup (cylinder) is

with

r = 2.5 (half of the diameter) and h = 3.   filling in

and the volume of the cup is

58.9 cubic inches.

subtracting the lower from the higher tells us that there is

26.2 cubic inches more in the cup than in the cone

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.