The formula to calculate the Volume of Capsule is:
\[ \text{Volume of Capsule} = \pi \times \text{rSphere}^2 \times \left( \frac{4 \times \text{rSphere}}{3} + \text{hCylinder} \right) \]
Where:
Volume of Capsule is the amount of three-dimensional space covered by the Capsule.
Let's assume the following values:
Using the formula:
\[ \text{Volume of Capsule} = \pi \times 5^2 \times \left( \frac{4 \times 5}{3} + 10 \right) \]
Evaluating:
\[ \text{Volume of Capsule} = \pi \times 25 \times \left( \frac{20}{3} + 10 \right) \]
\[ \text{Volume of Capsule} = \pi \times 25 \times \left( 6.666666666666667 + 10 \right) \]
\[ \text{Volume of Capsule} = \pi \times 25 \times 16.666666666666668 \]
\[ \text{Volume of Capsule} = 1308.99693899575 \]
The Volume of Capsule is approximately 1308.99693899575 cubic meters.
| Sphere Radius (m) | Cylinder Height (m) | Volume of Capsule (cubic meters) |
|---|---|---|
| 1 | 1 | 7.330382858376 |
| 1 | 3 | 13.613568165556 |
| 1 | 5 | 19.896753472735 |
| 1 | 7 | 26.179938779915 |
| 1 | 9 | 32.463124087095 |
| 1 | 11 | 38.746309394274 |
| 1 | 13 | 45.029494701454 |
| 1 | 15 | 51.312680008633 |
| 1 | 17 | 57.595865315813 |
| 1 | 19 | 63.879050622993 |
| 2 | 1 | 46.076692252650 |
| 2 | 3 | 71.209433481369 |
| 2 | 5 | 96.342174710087 |
| 2 | 7 | 121.474915938805 |
| 2 | 9 | 146.607657167524 |
| 2 | 11 | 171.740398396242 |
| 2 | 13 | 196.873139624960 |
| 2 | 15 | 222.005880853679 |
| 2 | 17 | 247.138622082397 |
| 2 | 19 | 272.271363311115 |
| 3 | 1 | 141.371669411541 |
| 3 | 3 | 197.920337176157 |
| 3 | 5 | 254.469004940773 |
| 3 | 7 | 311.017672705390 |
| 3 | 9 | 367.566340470006 |
| 3 | 11 | 424.115008234622 |
| 3 | 13 | 480.663675999238 |
| 3 | 15 | 537.212343763855 |
| 3 | 17 | 593.761011528471 |
| 3 | 19 | 650.309679293087 |
| 4 | 1 | 318.348055563766 |
| 4 | 3 | 418.879020478639 |
| 4 | 5 | 519.409985393512 |
| 4 | 7 | 619.940950308386 |
| 4 | 9 | 720.471915223259 |
| 4 | 11 | 821.002880138133 |
| 4 | 13 | 921.533845053006 |
| 4 | 15 | 1,022.064809967879 |
| 4 | 17 | 1,122.595774882753 |
| 4 | 19 | 1,223.126739797626 |
| 5 | 1 | 602.138591938044 |
| 5 | 3 | 759.218224617534 |
| 5 | 5 | 916.297857297023 |
| 5 | 7 | 1,073.377489976513 |
| 5 | 9 | 1,230.457122656002 |
| 5 | 11 | 1,387.536755335492 |
| 5 | 13 | 1,544.616388014982 |
| 5 | 15 | 1,701.696020694471 |
| 5 | 17 | 1,858.775653373961 |
| 5 | 19 | 2,015.855286053451 |
| 6 | 1 | 1,017.876019763093 |
| 6 | 3 | 1,244.070690821558 |
| 6 | 5 | 1,470.265361880023 |
| 6 | 7 | 1,696.460032938488 |
| 6 | 9 | 1,922.654703996953 |
| 6 | 11 | 2,148.849375055418 |
| 6 | 13 | 2,375.044046113884 |
| 6 | 15 | 2,601.238717172349 |
| 6 | 17 | 2,827.433388230814 |
| 6 | 19 | 3,053.628059289279 |
| 7 | 1 | 1,590.693080267632 |
| 7 | 3 | 1,898.569160319432 |
| 7 | 5 | 2,206.445240371231 |
| 7 | 7 | 2,514.321320423031 |
| 7 | 9 | 2,822.197400474831 |
| 7 | 11 | 3,130.073480526631 |
| 7 | 13 | 3,437.949560578430 |
| 7 | 15 | 3,745.825640630230 |
| 7 | 17 | 4,053.701720682030 |
| 7 | 19 | 4,361.577800733829 |
| 8 | 1 | 2,345.722514680379 |
| 8 | 3 | 2,747.846374339872 |
| 8 | 5 | 3,149.970233999366 |
| 8 | 7 | 3,552.094093658859 |
| 8 | 9 | 3,954.217953318353 |
| 8 | 11 | 4,356.341812977846 |
| 8 | 13 | 4,758.465672637340 |
| 8 | 15 | 5,160.589532296833 |
| 8 | 17 | 5,562.713391956327 |
| 8 | 19 | 5,964.837251615820 |
| 9 | 1 | 3,308.097064230052 |
| 9 | 3 | 3,817.035074111599 |
| 9 | 5 | 4,325.973083993145 |
| 9 | 7 | 4,834.911093874692 |
| 9 | 9 | 5,343.849103756238 |
| 9 | 11 | 5,852.787113637784 |
| 9 | 13 | 6,361.725123519331 |
| 9 | 15 | 6,870.663133400877 |
| 9 | 17 | 7,379.601143282423 |
| 9 | 19 | 7,888.539153163970 |
| 10 | 1 | 4,502.949470145370 |
| 10 | 3 | 5,131.268000863330 |
| 10 | 5 | 5,759.586531581288 |
| 10 | 7 | 6,387.905062299247 |
| 10 | 9 | 7,016.223593017206 |
| 10 | 11 | 7,644.542123735165 |
| 10 | 13 | 8,272.860654453123 |
| 10 | 15 | 8,901.179185171082 |
| 10 | 17 | 9,529.497715889040 |
| 10 | 19 | 10,157.816246606999 |