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The volume of the styrofoam collar is approximately 1,960.35
Step-by-step explanation:
Step 1:
The given styrofoam collar is a hollow cylinder. A hollow cylinder consists of an outer radius and an inner radius.
This given hollow cylinder has an outer radius of 8 inches and an inner radius of 5 inches. The height of the cylinder is 16 inches.
To calculate the volume of a hollow cylinder we subtract the volume of a cylinder constructed with the inner radius from the volume of a cylinder with the outer radius.
Step 2:
The volume of a cylinder,
For the outer cylinder, inches and
inches.
The volume of the outer cylinder,
For the inner cylinder, inches and
inches.
The volume of the inner cylinder,
Step 3:
The volume of the styrofoam collar
The volume of the styrofoam collar
Rounding this off, we get the volume of the styrofoam collar as 1,960.35