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
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Correct Answer: 28 cm
Solution : Given: The curved surface area of a cylinder is 968 cm2. The height of the cylinder is 11 cm. The curved surface area of a cylinder of radius $r$ and height $h$ is $2\pi rh$. According to the question, $2\times \frac{22}{7}\times r\times 11=968$ ⇒ $r=\frac{968\times 7}{22\times 2\times 11}=14$ cm The diameter of its base is $2r=2\times 14=28$ cm. Hence, the correct answer is 28 cm.
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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 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 height and curved surface area of the cylinder are 15cm and 330 cm2. Find the diameter of the cylinder.
Option 1: 2 cm
Option 2: 5 cm
Option 3: 7 cm
Option 4: 6 cm
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 : 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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