Question

the radius of a cylinder is doubled while the height remains same. Find the ratio between the volumes of the new cylinder and the original cylinder

Answer 1

ratio of new cylinder to original cyclinder will be 4:1

Answer 2

hello friends....
Solution:-
we know that
Volume of a cylinder = πr²h

here when the radius of a cylinder is doubled while the height remains same

the radius of original cylinder = r
the radius of the new cylinder = 2r

since h remains the same

the ratio of there volumes = π(2r)²h /πr²h
= 4r²/ r² = 4/1
=> the ratio between the volumes of the new cylinder and the original cylinder = 4:1 answer

♠♠ hope it helps ♣♣