Answer:
Two cone-shaped containers will be needed
Step-by-step explanation:
The key to finding the answer to this is to calculate the volumes of each of the shapes.
For the cylinder cast, the volume will be π * r^2 * h , where r is D/2 = 8/2 = 4 inches and h = 24 inches
V = π * 4^2 * 24 = 384 π inches^3
For the cone-shaped container, its volume is 1/3 * π * r^2 * h
where r is D/2 = 12/2 = 6 inches and h is 16 inches
The volume = 1/3 * π * 6^2 * 16 = 192 π inches^3
Thus, the number of cone-shaped containers needed to fill the casting will be the volume of the casting divided by the volume of the container
= 384 π / 192 π = 2
