Verified answer

Answer:

1:2

Step-by-step explanation:

Lateral Surface Area of cylinder:

Radius = r.

Height = h.

Surface area = 2πrh

Curved Surface Area of cone:

Radius = r

Height = h

Surface Area = πrl

Given that their bases be the same.

2πrh = πrl

⇒ h/l = πr/2πr

⇒ h/l = 1/2

⇒ h : l = 1:2

Therefore, ratio of the height of the cylinder to the slant height = 1:2.

Hope it helps!