The total surface area of a cylinder is Its curved surface area is one-third of its total surface area. Find the volume of the cylinder.

Question

Philoid · Accepted Answer

Given,

Total surface area of cylinder = 462 cm²

2πr (h + r) = 462

⇒ r (h + r) =

⇒ r² + rh =

CSA =

2πrh = × 462 = 154

⇒ rh =

Putting value of rh in equation (i)

⇒ r² +

⇒ r² =

⇒ r =

From (ii)

⇒ rh =

⇒ h =

∴ Volume of cylinder = πr²h = × 7 × 7 × = 532 cm³