Question

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 = 4 in, x =6 in, y = 6 in, z = 2 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.

(pic in replies)

The cup holds 56.52 in3 more ice cream than the cone.
The cone holds 56.52 in3 more ice cream than the cup.
The cup holds 43.96 in3 more ice cream than the cone.
The cone holds 43.96 in3 more ice cream than the cup.

Answer 1

@snowflake0531 can you check this?

Answer 2

the cup is shaped like a cylinder. volume of a cyinder: pi * r^2 * h. where r is the radius, h is the height. you're given diameter = y, so you'll have to divide y by 2 to get the radius. the height is z. from there, plug in your radius and height values into the formula.

for the cone: volume of a cone = (1/3)(pi * r^2 * h). you're given radius = w and height = x so plug these into the cone formula.

from there, you want to know which one holds more ice cream, so you'd look at which volume is larger, and subtract (larger volume) - (smaller volume) to get the difference.