if the height of cone is doubled then its volume increased..., Area & Volume, General Mathematics

Processing math: 100%

Question:If the height of cone is doubled, then its volume is increased by :

A  $100%$  
B  $200%$  
C  $300%$  
D  $400%$

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+ AnswerA

+ ExplanationLet the original height = h. Then, volume 

 $= 1/3 π r^2 h.$ 

New height $= 2h.$  So, volume 

 $=1/3 π r^2 xx 92h)$ 

 $= 2(1/3 π r^2 h)$ 

:. Increase  $= ((1/3 π r^2h)/(1/3 π r^2h) xx 100)%$ 

 $= 100%$ .

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Question:If the height of cone is doubled, then its volume is increased by :

A 100%100%

B 200%200%

C 300%300%

D 400%400%

A

A $100%$

B $200%$

C $300%$

D $400%$