Question : The radius of a right circular cylinder is thrice of its height. If the height of the cylinder is 3.5 cm, what is the volume of the cylinder?
Option 1: 1124.25 cm3
Option 2: 1324.75 cm3
Option 3: 1468.25 cm3
Option 4: 1212.75 cm3
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Correct Answer: 1212.75 cm 3
Solution : The height of the cylinder, $h$ = 3.5 cm So, radius, $r$ = 3.5 × 3 = 10.5 cm Now, the volume of the cylinder = $\pi r^2 h=\frac{22}{7}×(10.5)^2×3.5=1212.75\ \text{cm}^3$ Hence, the correct answer is 1212.75 cm 3 .
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