| A bucket is of a height 25 cm. Its top and bottom radii are 20 cm and 10 cm, respectively. Its capacity (in litres) is |
A) \[\frac{17.5\,\pi }{3}\,\]
B) \[17.5\,\pi \]
C) \[20\,\pi \]
D) \[25\,\pi \]
Correct Answer: A
Solution :
| Given, height of bucket = 25 cm |
| Radii of top (R) = 20 cm |
| and radii of bottom (r)= 10 cm |
| \[\therefore \] Capacity of bucket |
 |
| \[=\frac{\pi }{3}h\,({{R}^{2}}+{{r}^{2}}+Rr)\] |
| \[=\frac{\pi }{3}\times 25\,(400+100+200)c{{m}^{3}}\] |
| \[=\frac{\pi }{3}\times 25\times 700\,c{{m}^{3}}\] |
| \[=\frac{\pi }{3}\times \frac{175\times 100}{1000}L\,\,=\frac{17.5}{3}\pi L\] |
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