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height of a right circular cone is increased by10%


Koninti Sirisha 7th Jun, 2021
Answer (1)
Heena Agrawal 7th Jun, 2021

hi...

Step-by-step explanation:

Let original radius of cone=R


And original height=H


Hence original volume V=(1/3)πR²H


New radius when reduced by10%=R-(10/100)R =0.9R


New height when increased by 11 1/9 % i.e. 100/9% =H+(100/9)R/100=10/9H


Hence new volume V=(1/3)(0.9R)²(10/9H) =(1/3)(0.81R²)(10/9H=(1/3)(0.90)R²H=0.90V


Reduction in volume =V-0.90V=0.10V


Percentage reduction =(0.10V/V)×100= 10 %

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