The formula to calculate the Total Curved Surface Area of a Hollow Cylinder is:
\[ \text{Total Curved Surface Area} = 2 \cdot \pi \cdot \text{Height} \cdot (\text{Inner Radius} + \text{Outer Radius}) \]
The Total Curved Surface Area of a Hollow Cylinder is defined as the area of only the curved surface, excluding the circular top and base. The height of the hollow cylinder is the maximum vertical distance from the bottom to the top. The inner radius is the distance from the center to any point on the inner circumference, and the outer radius is the distance from the center to any point on the outer circumference.
Let's assume the following values:
Using the formula:
\[ \text{Total Curved Surface Area} = 2 \cdot \pi \cdot 8 \cdot (6 + 10) \approx 804.2477 \, \text{square meters} \]
The Total Curved Surface Area is approximately 804.2477 square meters.
| Height (meters) | Inner Radius (meters) | Outer Radius (meters) | Total Curved Surface Area (square meters) |
|---|---|---|---|
| 6 | 5 | 9 | 527.787565803085272 |
| 6 | 5 | 9.5 | 546.637121724623967 |
| 6 | 5 | 10 | 565.486677646162775 |
| 6 | 5 | 10.5 | 584.336233567701470 |
| 6 | 5 | 11 | 603.185789489240278 |
| 6 | 5.5 | 9 | 546.637121724623967 |
| 6 | 5.5 | 9.5 | 565.486677646162775 |
| 6 | 5.5 | 10 | 584.336233567701470 |
| 6 | 5.5 | 10.5 | 603.185789489240278 |
| 6 | 5.5 | 11 | 622.035345410779087 |
| 6 | 6 | 9 | 565.486677646162775 |
| 6 | 6 | 9.5 | 584.336233567701470 |
| 6 | 6 | 10 | 603.185789489240278 |
| 6 | 6 | 10.5 | 622.035345410779087 |
| 6 | 6 | 11 | 640.884901332317781 |
| 6 | 6.5 | 9 | 584.336233567701470 |
| 6 | 6.5 | 9.5 | 603.185789489240278 |
| 6 | 6.5 | 10 | 622.035345410779087 |
| 6 | 6.5 | 10.5 | 640.884901332317781 |
| 6 | 6.5 | 11 | 659.734457253856590 |
| 6 | 7 | 9 | 603.185789489240278 |
| 6 | 7 | 9.5 | 622.035345410779087 |
| 6 | 7 | 10 | 640.884901332317781 |
| 6 | 7 | 10.5 | 659.734457253856590 |
| 6 | 7 | 11 | 678.584013175395285 |
| 7 | 5 | 9 | 615.752160103599408 |
| 7 | 5 | 9.5 | 637.743308678727999 |
| 7 | 5 | 10 | 659.734457253856590 |
| 7 | 5 | 10.5 | 681.725605828985067 |
| 7 | 5 | 11 | 703.716754404113658 |
| 7 | 5.5 | 9 | 637.743308678727999 |
| 7 | 5.5 | 9.5 | 659.734457253856590 |
| 7 | 5.5 | 10 | 681.725605828985067 |
| 7 | 5.5 | 10.5 | 703.716754404113658 |
| 7 | 5.5 | 11 | 725.707902979242249 |
| 7 | 6 | 9 | 659.734457253856590 |
| 7 | 6 | 9.5 | 681.725605828985067 |
| 7 | 6 | 10 | 703.716754404113658 |
| 7 | 6 | 10.5 | 725.707902979242249 |
| 7 | 6 | 11 | 747.699051554370726 |
| 7 | 6.5 | 9 | 681.725605828985067 |
| 7 | 6.5 | 9.5 | 703.716754404113658 |
| 7 | 6.5 | 10 | 725.707902979242249 |
| 7 | 6.5 | 10.5 | 747.699051554370726 |
| 7 | 6.5 | 11 | 769.690200129499317 |
| 7 | 7 | 9 | 703.716754404113658 |
| 7 | 7 | 9.5 | 725.707902979242249 |
| 7 | 7 | 10 | 747.699051554370726 |
| 7 | 7 | 10.5 | 769.690200129499317 |
| 7 | 7 | 11 | 791.681348704627908 |
| 8 | 5 | 9 | 703.716754404113658 |
| 8 | 5 | 9.5 | 728.849495632832031 |
| 8 | 5 | 10 | 753.982236861550291 |
| 8 | 5 | 10.5 | 779.114978090268664 |
| 8 | 5 | 11 | 804.247719318987038 |
| 8 | 5.5 | 9 | 728.849495632832031 |
| 8 | 5.5 | 9.5 | 753.982236861550291 |
| 8 | 5.5 | 10 | 779.114978090268664 |
| 8 | 5.5 | 10.5 | 804.247719318987038 |
| 8 | 5.5 | 11 | 829.380460547705411 |
| 8 | 6 | 9 | 753.982236861550291 |
| 8 | 6 | 9.5 | 779.114978090268664 |
| 8 | 6 | 10 | 804.247719318987038 |
| 8 | 6 | 10.5 | 829.380460547705411 |
| 8 | 6 | 11 | 854.513201776423784 |
| 8 | 6.5 | 9 | 779.114978090268664 |
| 8 | 6.5 | 9.5 | 804.247719318987038 |
| 8 | 6.5 | 10 | 829.380460547705411 |
| 8 | 6.5 | 10.5 | 854.513201776423784 |
| 8 | 6.5 | 11 | 879.645943005142044 |
| 8 | 7 | 9 | 804.247719318987038 |
| 8 | 7 | 9.5 | 829.380460547705411 |
| 8 | 7 | 10 | 854.513201776423784 |
| 8 | 7 | 10.5 | 879.645943005142044 |
| 8 | 7 | 11 | 904.778684233860417 |
| 9 | 5 | 9 | 791.681348704627908 |
| 9 | 5 | 9.5 | 819.955682586935950 |
| 9 | 5 | 10 | 848.230016469244106 |
| 9 | 5 | 10.5 | 876.504350351552262 |
| 9 | 5 | 11 | 904.778684233860417 |
| 9 | 5.5 | 9 | 819.955682586935950 |
| 9 | 5.5 | 9.5 | 848.230016469244106 |
| 9 | 5.5 | 10 | 876.504350351552262 |
| 9 | 5.5 | 10.5 | 904.778684233860417 |
| 9 | 5.5 | 11 | 933.053018116168573 |
| 9 | 6 | 9 | 848.230016469244106 |
| 9 | 6 | 9.5 | 876.504350351552262 |
| 9 | 6 | 10 | 904.778684233860417 |
| 9 | 6 | 10.5 | 933.053018116168573 |
| 9 | 6 | 11 | 961.327351998476729 |
| 9 | 6.5 | 9 | 876.504350351552262 |
| 9 | 6.5 | 9.5 | 904.778684233860417 |
| 9 | 6.5 | 10 | 933.053018116168573 |
| 9 | 6.5 | 10.5 | 961.327351998476729 |
| 9 | 6.5 | 11 | 989.601685880784885 |
| 9 | 7 | 9 | 904.778684233860417 |
| 9 | 7 | 9.5 | 933.053018116168573 |
| 9 | 7 | 10 | 961.327351998476729 |
| 9 | 7 | 10.5 | 989.601685880784885 |
| 9 | 7 | 11 | 1,017.876019763092927 |
| 10 | 5 | 9 | 879.645943005142044 |
| 10 | 5 | 9.5 | 911.061869541039982 |
| 10 | 5 | 10 | 942.477796076937921 |
| 10 | 5 | 10.5 | 973.893722612835859 |
| 10 | 5 | 11 | 1,005.309649148733797 |
| 10 | 5.5 | 9 | 911.061869541039982 |
| 10 | 5.5 | 9.5 | 942.477796076937921 |
| 10 | 5.5 | 10 | 973.893722612835859 |
| 10 | 5.5 | 10.5 | 1,005.309649148733797 |
| 10 | 5.5 | 11 | 1,036.725575684631622 |
| 10 | 6 | 9 | 942.477796076937921 |
| 10 | 6 | 9.5 | 973.893722612835859 |
| 10 | 6 | 10 | 1,005.309649148733797 |
| 10 | 6 | 10.5 | 1,036.725575684631622 |
| 10 | 6 | 11 | 1,068.141502220529674 |
| 10 | 6.5 | 9 | 973.893722612835859 |
| 10 | 6.5 | 9.5 | 1,005.309649148733797 |
| 10 | 6.5 | 10 | 1,036.725575684631622 |
| 10 | 6.5 | 10.5 | 1,068.141502220529674 |
| 10 | 6.5 | 11 | 1,099.557428756427498 |
| 10 | 7 | 9 | 1,005.309649148733797 |
| 10 | 7 | 9.5 | 1,036.725575684631622 |
| 10 | 7 | 10 | 1,068.141502220529674 |
| 10 | 7 | 10.5 | 1,099.557428756427498 |
| 10 | 7 | 11 | 1,130.973355292325550 |