Question : The radius of a right circular cylinder is four times its height. If the height of the cylinder is 14 cm, then what is the volume of the cylinder?
Option 1: 15468 cm3
Option 2: 14262 cm3
Option 3: 137984 cm3
Option 4: 11296 cm3
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Correct Answer: 137984 cm 3
Solution : Given, the height of the cylinder, $h$ = 14 cm Also, the radius of the cylinder = $4h$ So, radius, $r$ = 56 cm Volume of cylinder = $\pi r^2h$ = $\frac{22}{7}\times 56^2\times 14$ = 137984 cm 3 Hence, the correct answer is 137984 cm 3 .
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