Answer:
Volume of smallest container = 3141.6 cm³
Volume of middle sized container = 6283.2 cm³
Volume of largest container = 9424.8 cm³
Step-by-step explanation:
The formula to find the volume of a cylinder = πr²h
The height of each cylinder in a set of food-storage containers is 30 cm.
The radius of the largest container is 10 cm.
Step 1
We can find the volume of the largest cylinder
= r = 10cm
h = 30cm
Volume of largest cylinder = π × 10² × 30
= 9424.8 cm³
Step 2
We find the volume of the smallest container
We are told in the question:
The volume of the smallest container is one-third the volume of the largest container.
Hence
Volume of Smallest container = 1/3 (9424.8 cm³)
= 3141.6 cm³
Step 3
The volume of the middle-sized container is two-thirds the volume of the largest container.
Hence,
Volume of the middle sized container =
2/3 (9424.8 cm³)
= 6283.2 cm³
Therefore, the volume of each container is
Volume of smallest container = 3141.6 cm³
Volume of middle sized container = 6283.2 cm³
Volume of largest container = 9424.8 cm³
