Andrew M. answered • 09/05/17

Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

Let the radius of Cylinder A = r

Let the height of Cylinder A = h

diameter = 2r

since cylinder B is twice the diameter

of cylinder A, the diameter of Cylinder B is 4r

and the radius of cylinder B is 4r/2 = 2r

Cylinder A is twice the height of Cylinder B so

the height of Cylinder B is h/2

Volume Cylinder A = πr

^{2}hVolume Cylinder B = π(2r)

^{2}(h/2)= 2πr^{2}hThe ratio is 1 to 2