Question

If each of the radius of base and height of the right circular cone in is increased by 10% then the percentage of increase in the value of the cone will be

Answer 1

Solution :-

Volume of cone = πr²h/3

New radius = 11r/10

new height = 11h/10

So new V = π(11r/10)²)(11h/10)(1/3)

                = π(121r/100)(11h/10)(1/3)

                 =  π 1331rh/3000

percentages increased = (new volume/old volume  × 100) -100

=> (π/3 × 3/π ×1331/1000 × rh/rh   × 100) -100

=> (1331/1000   × 100) -100

=> 133.1 -100

= > 33.1%

the value of the cone will be = 33.1%

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@GauravSaxena01