Answer:
The volume is 423.33 cubic millimeters.
Explanation:
The formula for volume of a cylinder is given by:
V = πr^2h, where
- V is the volume in cubic units,
- r is the radius of the circle,
- and h is the height (distance between the two circles in a cylinder).
Step 1: Find radius, r, of the cylinder:
The diagram shows us the diameter, d, of the circle is 7 mm. Since the diameter is twice the radius, r, we can find r by dividing the diameter by 2:
r = d / 2
r = 7 / 2
r = 3.5 mm
Thus, the radius of the cylinder is 3.5 mm.
Step 2: Plug in values and round to the nearest hundredth to find the volume, V, of the cylinder:
Now we can plug in 3.5 for r and 11 for h to find V, the volume of the cylinder. We can round at the end.
V = π(3.5)^2(11)
V = π(12.25)(11)
V = 134.75π
V = 423.3296101
V = 423.33 mm^2
Thus, the volume of the cylinder is 423.33 cubic millimeters.