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
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Correct Answer: 261.95 cm3
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 = $\pi r^2h$ = $\frac{22}{7}\times 6.3^2 \times 2.1$ = $261.95$ cm3 Hence, the correct answer is 261.95 cm3.
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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
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
Question : The height of a solid cylinder is 35 cm. The circumference of its base is 37 cm more than the radius. What will be the volume of this cylinder?
Option 1: 4740 cm3
Option 2: 4850 cm3
Option 3: 5390 cm3
Option 4: 4420 cm3
Question : What is the volume of a cylinder if the radius of the cylinder is 10 cm and the height is 20 cm? (Take π = 3.14)
Option 1: 6280 cm3
Option 2: 5306 cm3
Option 3: 6260 cm3
Option 4: 5280 cm3
Question : The volume of a right circular cone is 1232 cm3 and its vertical height is 24 cm. Its curved surface area is:
Option 1: 154 cm2
Option 2: 550 cm2
Option 3: 604 cm2
Option 4: 704 cm2
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