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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