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
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Correct Answer: 308 cm2
Solution : Given: The circumference of the base of the cylinder is 22 cm and its height is four times its radius. Let the radius be $r$. So, $2\pi r=22$ ⇒ $r=22×\frac{7}{22}×\frac{1}{2}$ ⇒ $r=\frac{7}{2}$ cm So, the height = 4 × $\frac{7}{2}$ = 14 cm Now, the area of the lateral surface of the right circular cylinder = circumference of the base × height = 22 × 14 = 308 cm2 Hence, the correct answer is 308 cm2.
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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 : 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 curved surface area of a cylinder is 968 cm2. If the height of the cylinder is 11 cm, then what will be the diameter of its base?
Option 1: 26 cm
Option 2: 22 cm
Option 3: 28 cm
Option 4: 24 cm
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
Question : Find the curved surface area of a cone whose radius of the base is 7 cm and slant height is 8 cm. [Use $\pi=\frac{22}{7}$]
Option 1: 132 cm2
Option 2: 198 cm2
Option 3: 154 cm2
Option 4: 176 cm2
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