| The external diameter of a steel pipe is 5 cm and its thickness is 5 mm. If the length of the pipe is 14 cm. What is the volume of steel in the pipe? |
A) 99 cm
B) 33 cm
C) 66 cm
D) 22 cm
Correct Answer: A
Solution :
| External radius (R) \[=\frac{5}{2}=2.5\,\,cm\] |
| Internal radius \[(r)=(2.5-0.5)\,\,cm=2\,\,cm\] |
| Volume of the steel \[=\pi \,\,({{R}^{2}}-{{r}^{2}})\times h\] |
| \[=\frac{22}{7}(R+r)(R-r)\times h\] |
| \[=\frac{22}{7}\times 4.5\times 0.5\times 14=99\,\,c{{m}^{2}}\] |
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