Cone
(the database of solved problems)
All the problems and solutions shown below were generated using the Cone Calculator.
| ID |
Problem |
Count |
| 1 | Find the radius $ r $ of a cone if Curved Surface Area $CSA = 10\, \text{cm}$. | 208 |
| 2 | Find the radius $ r $ of a cone if ???. | 131 |
| 3 | Find the radius $ r $ of a cone if diameter $d = 27.056\, \text{cm}$ and slant height $l = 25\, \text{cm}$. | 80 |
| 4 | Find the radius $ r $ of a cone if height $h = 16\, \text{cm}$ and volume $V = 3786\, \text{cm}$. | 73 |
| 5 | Find the radius $ r $ of a cone if radius $r = 10\, \text{mm}$, diameter $d = 10\, \text{cm}$ and height $h = 19\, \text{cm}$. | 64 |
| 6 | Find the radius $ r $ of a cone if radius $r = 10\, \text{mm}$ and height $h = 19\, \text{cm}$. | 62 |
| 7 | Find the radius $ r $ of a cone if diameter $d = 4\, \text{cm}$ and slant height $l = 15\, \text{cm}$. | 57 |
| 8 | Find the radius $ r $ of a cone if height $h = 21\, \text{cm}$ and volume $V = 252\pi\, \text{cm}$. | 57 |
| 9 | Find the radius $ r $ of a cone if radius $r = 6\, \text{mm}$ and slant height $l = 10.5\, \text{cm}$. | 51 |
| 10 | Find the radius $ r $ of a cone if radius $r = 3.82\, \text{m}$ and height $h = 97\, \text{cm}$. | 33 |
| 11 | Find the volume $ V $ of a cone if diameter $d = 24$ and height $h = 36$. | 29 |
| 12 | Find the radius $ r $ of a cone if diameter $d = 3\, \text{cm}$ and height $h = 2.6\, \text{cm}$. | 28 |
| 13 | Find the radius $ r $ of a cone if volume $V = 300\, \text{cm}$. | 28 |
| 14 | Find the radius $ r $ of a cone if height $h = 11\, \text{cm}$ and volume $V = 564\, \text{cm}$. | 26 |
| 15 | Find the radius $ r $ of a cone if radius $r = 2\, \text{mm}$, diameter $d = 4\, \text{cm}$ and slant height $l = 15\, \text{cm}$. | 22 |
| 16 | Find the height $ h $ of a cone if radius $r = \frac{ 1 }{ 3 }$, diameter $d = \frac{ 2 }{ 3 }$ and volume $V = \frac{ 1 }{ 18 }\pi$. | 21 |
| 17 | Find the radius $ r $ of a cone if radius $r = \frac{ 1 }{ 3 }\, \text{mm}$, diameter $d = \frac{ 2 }{ 3 }\, \text{cm}$ and volume $V = \frac{ 1 }{ 18 }\pi\, \text{cm}$. | 20 |
| 18 | Find the height $ h $ of a cone if radius $r = 5$ and volume $V = 628$. | 17 |
| 19 | Find the Curved Surface Area $ CSA $ of a cone if Curved Surface Area $CSA = 10$. | 17 |
| 20 | Find the radius $ r $ of a cone if radius $r = 10$ and height $h = 19$. | 16 |
| 21 | Find the volume $ V $ of a cone if diameter $d = 4$ and height $h = 8$. | 14 |
| 22 | Find the radius $ r $ of a cone if radius $r = 10$, diameter $d = 10$ and height $h = 19$. | 13 |
| 23 | Find the radius $ r $ of a cone if diameter $d = 9$ and height $h = 5$. | 13 |
| 24 | Find the radius $ r $ of a cone if radius $r = 6$ and slant height $l = 10.5$. | 12 |
| 25 | Find the radius $ r $ of a cone if volume $V = 300$. | 12 |
| 26 | Find the radius $ r $ of a cone if height $h = 16$ and volume $V = 3786$. | 11 |
| 27 | Find the volume $ V $ of a cone if radius $r = 4\, \text{in}$ and height $h = 9\, \text{in}$. | 10 |
| 28 | Find the radius $ r $ of a cone if radius $r = \frac{ 1 }{ 3 }$, diameter $d = \frac{ 2 }{ 3 }$ and volume $V = \frac{ 1 }{ 18 }\pi$. | 10 |
| 29 | Find the radius $ r $ of a cone if radius $r = 22\, \text{dm}$ and volume $V = 2000\, \text{cm}$. | 10 |
| 30 | Find the radius $ r $ of a cone if radius $r = 2$, diameter $d = 4$ and slant height $l = 15$. | 10 |
| 31 | Find the radius $ r $ of a cone if diameter $d = 4$ and slant height $l = 15$. | 10 |
| 32 | Find the radius $ r $ of a cone if ???. | 9 |
| 33 | Find the radius $ r $ of a cone if radius $r = 5\, \text{dm}$ and volume $V = 628\, \text{cm}$. | 9 |
| 34 | Find the radius $ r $ of a cone if height $h = 11$ and volume $V = 564$. | 9 |
| 35 | Find the radius $ r $ of a cone if height $h = 15$ and volume $V = 1570$. | 9 |
| 36 | Find the radius $ r $ of a cone if radius $r = 2$ and slant height $l = 15$. | 9 |
| 37 | Find the Curved Surface Area $ CSA $ of a cone if height $h = 21$ and volume $V = 252\pi$. | 8 |
| 38 | Find the slant height $ l $ of a cone if radius $r = 24\, \text{mm}$ and height $h = 32\, \text{mm}$. | 8 |
| 39 | Find the radius $ r $ of a cone if diameter $d = 24\, \text{cm}$ and height $h = 36\, \text{cm}$. | 8 |
| 40 | Find the height $ h $ of a cone if radius $r = 22$ and volume $V = 2000$. | 8 |
| 41 | Find the radius $ r $ of a cone if volume $V = 300$. | 8 |
| 42 | Find the slant height $ l $ of a cone if radius $r = 3.82$ and height $h = 97$. | 8 |
| 43 | Find the volume $ V $ of a cone if diameter $d = 27.056$ and slant height $l = 25$. | 8 |
| 44 | Find the radius $ r $ of a cone if diameter $d = 4\, \text{cm}$ and height $h = 8\, \text{cm}$. | 8 |
| 45 | Find the slant height $ l $ of a cone if radius $r = 24\, \text{mm}$ and height $h = 7\, \text{mm}$. | 7 |
| 46 | Find the radius $ r $ of a cone if radius $r = 2$, diameter $d = 4$ and slant height $l = 15$. | 7 |
| 47 | Find the volume $ V $ of a cone if radius $r = 6$ and height $h = 8$. | 7 |
| 48 | Find the height $ h $ of a cone if radius $r = 10$ and volume $V = 628$. | 7 |
| 49 | Find the radius $ r $ of a cone if diameter $d = 3$ and height $h = 2.6$. | 7 |
| 50 | Find the radius $ r $ of a cone if radius $r = 1.7$ and slant height $l = 3.4$. | 7 |