Question

Find ratio of curved surface area and total surface area of a cylinder if radius is half of its height.

Answer 1

Answer:

Step-by-step explanation:

Let the radius and height of the cylinder be r and h, respectively .

Given that, Curved surface area / Total surface area = 1/3

⇒ 2πrh / 2πr(h + r) = 1/3 ⇒ 3h = h + r  

⇒ r = 2h = 4cm  

∴ volume of cylinder πr2h

= π × (4)2 × 2 = 32π cm3