24 * 42 एमएम आपके दो कागज लेकर लंबाई एवं चौड़ाई की दिशा में मार कर दो अलग-अलग बेलन बनाई है दोनों में किस का वक्र पृष्ठ एवं आयतन अधिक होगा
Answers
Given : paper 24 cm * 42 cm
Make cylinder by folding each side
To Find : Which one has more Curved surface area , volume
Solution:
paper 24 cm * 42 cm
24 cm is height and 42 cm is circumference of base
2πr = 42
h = 24 cm
Curved surface area =2πrh = 42 * 24 cm²
2πr = 42
=> 2(π)r = 42
=> r = 21/π
Volume = πr²h
=π( 21/π)²24
= 10584/π cm³
paper 24 cm * 42 cm
42 cm is height and 24 cm is circumference of base
2πr = 24
h = 42 cm
Curved surface area =2πrh = 24 *42 cm²
Curved surface area of both is same
2πr = 24
= r = 12/π
Volume = πr²h
= π( 12/π)²42
= 6048/π cm³
10584/π > 6048/π
Volume of this case is less
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