Answer: 468π or 1470.27 cubic inches
Step-by-step explanation:
The volume of a cylinder can be calculated using the formula:
V = πr²h, where:
- V represents the volume of the cylinder
- r represents the radius of the base of the cylinder
- h represents the height of the cylinder
In this case, the diameter is given, and the radius (r) is half of the diameter. So, the radius is 6 inches.
We can substitute our known values of h (13 inches) and r (6 inches) into the formula:
V = π(6)²·13
V = 468π
The volume of the cylinder is 468π or 1470.27 cubic inches.
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