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height of right circular cone is increased by 10% and radius of its base is increased by 20% find the change in its volume


Koninti Sirisha 7th Jun, 2021
Answer (1)
Sharon Rose Student Expert 17th Jun, 2021

Hello,

The volume of the right circular cone is V= (1/3)*Pi*r^2*h

The new increased height of the cone can be written as (120/100)*h

The new increased based radius of the cone can be written as (110/100)*r

Now the new volume is= (1/3)*Pi*(1.1r)^2*(1.2h) = 1.452*((Pi*r^2*h)/3) which is also equal to 1.452*V

So the change  in volume is ((1.452*100)-100)= 145.2-100= 45.2%

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