Answer: 9.00 meters
Step-by-step explanation: To find the radius of the cylinder, you can use the formula for the volume of a cylinder:
Volume = π * r^2 * h
Where:
Volume is the given volume of the cylinder (3052.08 m³)
π (pi) is approximately 3.14
r is the radius of the cylinder (which we want to find)
h is the height of the cylinder (12 m)
Rearrange the formula to solve for the radius (r):
r^2 = Volume / (π * h)
Now, plug in the values:
r^2 = 3052.08 / (3.14 * 12)
r^2 ≈ 80.936
To find the radius (r), take the square root of both sides:
r ≈ √80.936 ≈ 9.00 (rounded to the nearest hundredth)
So, the radius of the cylinder is approximately 9.00 meters when rounded to the nearest hundredth.