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 |
\[=\frac{\pi }{3}h\,({{R}^{2}}+{{r}^{2}}+Rr)\] |
\[=\frac{\pi }{3}\times 25\,(400+100+200)c{{m}^{3}}\] |
\[=\frac{\pi }{3}\times 25\times 700\,c{{m}^{3}}\] |
\[=\frac{\pi }{3}\times \frac{175\times 100}{1000}L\,\,=\frac{17.5}{3}\pi L\] |
You need to login to perform this action.
You will be redirected in
3 sec