किसी तार की त्रिज्या एक तिहाई कर दी जाती है। यदि आयतन समान रहे तो लंबाई कितनी बढ़ जाएगी?
A. 3 times
B. 1 times
C. 9 times
D. 6 times
A. 3 times
B. 1 times
C. 9 times
D. 6 times
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Correct Answer – C
Let the radius of wire `-1` cm
Volume of wire `=pir^(2)h`
`=pi(1)^(2)h=pih`
New radius of wire `=1/3cm`
volume of new wire
`=pi(1/3)^(2)H=1/9piH`
Volume of old wire `=` Volume of new wire
`pih=1/9piH`
`H=9h`
Height of new cone is increased by 9 times.