The lateral surface area of a cylinder is equal to the curved surface

1.	The lateral surface area of a cylinder is equal to the curved surface area of a cone. If their bases be the same, find the ratio of the height of the cylinder to the slant height of the cone.
Answer» Answer:1:2Step-by-step explanation:Lateral Surface Area of cylinder:Radius = r.Height = h.Surface area = 2πrh Curved Surface Area of cone:Radius = rHeight = hSurface 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!

The lateral surface area of a cylinder is equal to the curved surface area of a cone. If their bases be the same, find the ratio of the height of the cylinder to the slant height of the cone.

Answer»

Answer:1:2Step-by-step explanation:Lateral Surface Area of cylinder:Radius = r.Height = h.Surface area = 2πrh

Curved Surface Area of cone:Radius = rHeight = hSurface 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!