A hollow toy, with the dimensions shown in the figure, is to be stuffed with rigid foam. What is the maximum amount of foam that can be stuffed into the toy? Round your answer to two decimal places. Assume that both parts are stuffed and the foam does not expand or contract.

Question

paytojae000 · Answer

PICTURE: https://cdn.ple.platoweb.com/EdAssets/8e54ceb95f9749c0b83d8306bae9322d?ts=635387395727000000 A.52.46 cubic inches B. 67.02 cubic inches C. 83.78 cubic inches D. 112.15 cubic inches

SmokeyBrown · Answer

Hi, and welcome to QuestionCove!
The picture looks like the rest of the volume is in a cone shape.
So, to find the remaining volume, first take the radius of the cone. Since the diameter is 4, the radius is simply half that, 2.
Then, use that to find the area of the base (pi * radius-squared).
Then, multiply the base volume by the height of the cone (in this case, the height is 12).
Lastly, divide that value by 3, and you have the volume of the cone.