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 cm3
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 cm3.
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Question : The radius of a right circular cylinder is 7 cm. Its height is thrice its radius. What is the curved surface area of the cylinder?
Option 1: 724 cm2
Option 2: 666 cm2
Option 3: 924 cm2
Option 4: 264 cm2
Question : What is the area of the lateral surface of a right circular cylinder, If the circumference of the base is 22 cm and its height is four times its radius?
Option 1: 388 cm2
Option 2: 308 cm2
Option 3: 408 cm2
Option 4: 288 cm2
Question : The radius of a cylinder is 14 cm. If the height of the cylinder is four times of its radius, then what is the curved surface area of the cylinder?
Option 1: 5546 cm2
Option 2: 4928 cm2
Option 3: 4694 cm2
Option 4: 5214 cm2
Question : The height of a cone is 12 cm and the radius of its base is 14 cm. What is the volume of the cone?
Option 1: 2464 cm3
Option 2: 2692 cm3
Option 3: 2248 cm3
Option 4: 2872 cm3
Question : If the curved surface area of a cylinder is 440 cm2 and the height of the cylinder is 10 cm, then what is the radius (in cm.) of the cylinder?
Option 1: 7
Option 2: 14
Option 3: 21
Option 4: 3.5
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