Question

The radius of the base of a right circular cylinder is halved and the height is double. what is the ratio of the volume of the new cylinder to that of the original cylinder

Answer 1

hello users .....

we have given that :
radius of the base of a right circular cylinder is halved and the height is double .

we have to find :
ratio of the volume of the new cylinder to that of the original cylinder.

solution:-
let for original cylinder

the radius of the cylinder = r
and
height = h

we know that :
volume of cylinder = πr²h

according to question :
the radius of new cylinder = r/2
and
height = 2h

now,
volume of original cylinder
= πr²h

&

volume of New cylinder
= π(r/2)²(2h)
= 2πr²h / 4
=> πr²h / 2

now,
Ratio between their volumes
= ( πr²h/2) / ( πr²h)
=> 1/2

hence ,
their volumes are in ratio of 1:2 answer

⭐⭐ hope it helps ⭐⭐

Answer 2

I hope it will help u