A geometry problem by Vinayak Bansal

Geometry Level 2

The radius of a cylinder is 8 cm and the height is 3 cm.The number of cm that may be added to either the radius or the height so that in either case the volume of the cylinder increases by the same magnitude is

20 1 5 1 3 5 \dfrac{1}{3} 7 1 2 7\dfrac{1}{2}

Vinayak Bansal by Vinayak Bansal , 17, India

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1 solution

X X
May 23, 2018

Let the number of cm that may be added to be x x , 8 2 ( 3 + x ) = 3 ( 8 + x ) 2 , x = 16 3 8^2(3+x)=3(8+x)^2,x=\frac{16}3

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Thank you for the solution !

Vinayak Bansal - 3 years ago

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