Question : The height of a cylinder is 6 cm more than the radius of its base. If its radius is 14 cm, then what will be the volume of this cylinder? (use $\pi=\frac{22}{7}$)
Option 1: 13,560 cm3
Option 2: 14,340 cm3
Option 3: 10,440 cm3
Option 4: 12,320 cm3
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Correct Answer: 12,320 cm 3
Solution : Given: The height of a cylinder is 6 cm more than the radius of its base. Its radius is 14 cm. The volume of the cylinder $=\frac{22}{7}\times r^2\times h$ where $r$ and $h$ are its radius and height respectively. According to the question, $h=r+6$ ⇒ $h= 14+6=20$ cm The volume of the cylinder $=\frac{22}{7}\times (14)^2\times 20=22\times2\times 14\times 20=12320$ cm 3 . Hence, the correct answer is 12,320 cm 3 .
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