| A drainage tile is a cylindrical shell 21 cm long. The inside and outside diameters are 4.5 cm and 5.1 cm, respectively. What is the volume of the clay required for the tile? |
A) \[6.96\,\pi \,cm\]
B) \[6.76\,\pi \,cm\]
C) \[6.75\,\pi \,cm\]
D) None of these
Correct Answer: D
Solution :
| Volume of clay required |
| \[=\,\,\pi \,\left[ {{\left( \frac{5.1}{2} \right)}^{2}}-{{\left( \frac{4.5}{2} \right)}^{2}} \right]\times 21\] |
| \[=\pi \,[{{(2.55)}^{2}}-{{(2.25)}^{2}}]\times 21\] |
| \[=\pi \,(0.3\times 4.8)\times 21\] |
| \[=30.24\,\,\pi \,c{{m}^{3}}\] |
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