Question : The radius of a right circular cylinder is thrice of its height. If the height of the cylinder is 2.1 cm, then what is the volume of a cylinder?
Option 1: 224.65 cm3
Option 2: 194.72 cm3
Option 3: 324.86 cm3
Option 4: 261.95 cm3
Correct Answer: 261.95 cm 3
Solution :
Given that the radius of a right circular cylinder is thrice of its height.
The height of the cylinder, $h$ = 2.1 cm
The radius of cylinder, $r$ = 3 × 2.1 = 6.3 cm
The volume of the cylinder
= $\pi r^2h$
= $\frac{22}{7}\times 6.3^2 \times 2.1$
= $261.95$ cm
3
Hence, the correct answer is 261.95 cm
3
.
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