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 volume $ V $ of a cone if diameter $d = 24$ and height $h = 36$. | 29 |
2 | Find the radius $ r $ of a cone if height $h = 16\, \text{cm}$ and volume $V = 3786\, \text{cm}$. | 27 |
3 | 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 |
4 | Find the Curved Surface Area $ CSA $ of a cone if Curved Surface Area $CSA = 10$. | 17 |
5 | Find the height $ h $ of a cone if radius $r = 5$ and volume $V = 628$. | 17 |
6 | Find the radius $ r $ of a cone if radius $r = 10$ and height $h = 19$. | 16 |
7 | Find the radius $ r $ of a cone if radius $r = 10\, \text{mm}$, diameter $d = 10\, \text{cm}$ and height $h = 19\, \text{cm}$. | 14 |
8 | Find the volume $ V $ of a cone if diameter $d = 4$ and height $h = 8$. | 14 |
9 | Find the radius $ r $ of a cone if radius $r = 10$, diameter $d = 10$ and height $h = 19$. | 13 |
10 | Find the radius $ r $ of a cone if diameter $d = 9$ and height $h = 5$. | 13 |
11 | Find the radius $ r $ of a cone if radius $r = 6$ and slant height $l = 10.5$. | 12 |
12 | Find the radius $ r $ of a cone if radius $r = 10\, \text{mm}$ and height $h = 19\, \text{cm}$. | 12 |
13 | Find the radius $ r $ of a cone if volume $V = 300$. | 12 |
14 | Find the radius $ r $ of a cone if diameter $d = 27.056\, \text{cm}$ and slant height $l = 25\, \text{cm}$. | 11 |
15 | Find the radius $ r $ of a cone if height $h = 16$ and volume $V = 3786$. | 11 |
16 | Find the volume $ V $ of a cone if radius $r = 4\, \text{in}$ and height $h = 9\, \text{in}$. | 10 |
17 | Find the radius $ r $ of a cone if height $h = 21\, \text{cm}$ and volume $V = 252\pi\, \text{cm}$. | 10 |
18 | Find the radius $ r $ of a cone if radius $r = 2$, diameter $d = 4$ and slant height $l = 15$. | 10 |
19 | Find the radius $ r $ of a cone if diameter $d = 4$ and slant height $l = 15$. | 10 |
20 | 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 |
21 | Find the radius $ r $ of a cone if height $h = 11$ and volume $V = 564$. | 9 |
22 | Find the radius $ r $ of a cone if ???. | 9 |
23 | Find the radius $ r $ of a cone if radius $r = 2$ and slant height $l = 15$. | 9 |
24 | Find the radius $ r $ of a cone if height $h = 15$ and volume $V = 1570$. | 9 |
25 | Find the height $ h $ of a cone if radius $r = 22$ and volume $V = 2000$. | 8 |
26 | Find the slant height $ l $ of a cone if radius $r = 3.82$ and height $h = 97$. | 8 |
27 | Find the Curved Surface Area $ CSA $ of a cone if height $h = 21$ and volume $V = 252\pi$. | 8 |
28 | Find the volume $ V $ of a cone if diameter $d = 27.056$ and slant height $l = 25$. | 8 |
29 | Find the radius $ r $ of a cone if volume $V = 300$. | 8 |
30 | Find the radius $ r $ of a cone if radius $r = 1.7$ and slant height $l = 3.4$. | 7 |
31 | Find the radius $ r $ of a cone if radius $r = 2$, diameter $d = 4$ and slant height $l = 15$. | 7 |
32 | Find the height $ h $ of a cone if radius $r = 10$ and volume $V = 628$. | 7 |
33 | Find the volume $ V $ of a cone if radius $r = 6$ and height $h = 8$. | 7 |
34 | Find the radius $ r $ of a cone if diameter $d = 3$ and height $h = 2.6$. | 7 |
35 | Find the radius $ r $ of a cone if radius $r = 6\, \text{mm}$ and slant height $l = 10.5\, \text{cm}$. | 5 |
36 | Find the radius $ r $ of a cone if radius $r = 2$, diameter $d = 4$ and slant height $l = 15$. | 5 |
37 | Find the volume $ V $ of a cone if diameter $d = 3$ and height $h = 2.6$. | 5 |
38 | Find the slant height $ l $ of a cone if radius $r = 11$ and height $h = 15$. | 4 |
39 | Find the radius $ r $ of a cone if radius $r = 17$ and volume $V = 5444.76$. | 4 |
40 | Find the radius $ r $ of a cone if radius $r = 4\, \text{in}$ and height $h = 9\, \text{in}$. | 4 |
41 | Find the volume $ V $ of a cone if radius $r = 2$ and height $h = 9$. | 4 |
42 | Find the base area $ A_B $ of a cone if radius $r = 13$ and slant height $l = 31$. | 4 |
43 | Find the radius $ r $ of a cone if height $h = 9$ and volume $V = 27$. | 4 |
44 | Find the radius $ r $ of a cone if radius $r = 6$ and height $h = 12$. | 4 |
45 | Find the radius $ r $ of a cone if height $h = 7$ and volume $V = 65.94$. | 4 |
46 | Find the area $ A $ of a cone if diameter $d = 18$ and height $h = 12$. | 4 |
47 | Find the radius $ r $ of a cone if radius $r = 3$ and height $h = 6$. | 3 |
48 | Find the radius $ r $ of a cone if height $h = 8$ and volume $V = 1309$. | 3 |
49 | Find the Curved Surface Area $ CSA $ of a cone if radius $r = 3$ and height $h = 5$. | 3 |
50 | Find the diameter $ d $ of a cone if radius $r = 5$ and volume $V = 628$. | 3 |