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%
Question : Which of the following statements is not correct?
Option 1: For a given radius and height, a right circular cone has a lesser volume than a right circular cylinder.
Option 2: If the side of a cube is increased by 10%, the volume will increase by 33.1%.
Option 3: If the radius of a sphere is increased by 20%, the surface area will increase by 40%.
Option 4: Cutting a sphere into 2 parts does not change the total volume.
Question : If the radius of the base, and the height of a right circular cone are increased by 20%, what is the approximate percentage increase in volume?
Option 1: 60
Option 2: 68.8
Option 3: 72.8
Option 4: 75
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