The lateral surface of a cylinder is developed in a square whose diagonal is \( \Large \sqrt{2} \) cm long. Find the volume of the cylinder in cubic centimeters is, if height is 1 cm.
Correct Answer: A) \( \Large \frac{1}{4 \pi } \) |
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Description for Correct answer:
\( \Large 2 \pi rh = 1 \)
=> \( \Large 2 \pi r = 1 \)
=> \( \Large r = \frac{1}{2 \pi } \)
Volume of cylinder, \( \Large V_{cy}= \pi \left(\frac{1}{2 \pi }\right)^{2}.1=\frac{1}{4 \pi } \)
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