The height of a right circular
The height of a right circular cylinder is three times its radius. If the curved surface area of the right circular cylinder is 3696 cm\(^2\), then the volume of the cylinder is equal to (taking\(\pi =\frac{22}{7}\)) :
एक लबं वृत्तीय बेलन की ऊंचाई उसकी त्रिज्या की तीन गुनी है। यदि लबं वृत्तीय बेलन का वक्र पृष्ठीय क्षेत्रफल 3696 cm\(^2\) है, तो बेलन का आयतन कितना हैं? (\(\pi =\frac{22}{7}\)लीजिए)
Detailed Solution & Logic
25,872 cm\(^3\)
CSA = $ 2\pi r h = 3696 $
$ h = 3r, \pi=\frac{22}{7} $
$ 2 \times \frac{22}{7} \times r \times 3r = 3696 $
$ r = 14 \text{ cm},; h = 42 \text{ cm} $
$ \text{Volume} = \pi r^2 h = \frac{22}{7} \times 14^2 \times 42 $
$ = 25872 \text{ cm}^3 $
Answer = ${25872{cm}^3} $
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