The total surface area of a solid is and its curved surface area is of the total surface area. Find the volume of the cylinder.

Question

Philoid · Accepted Answer

Given,

Total surface area of solid = 231 cm²

2πr(h + r) = 231

⇒ r (r + h) =

⇒ r² + rh =

CSA =

2πrh =

⇒ rh =

Putting value of rh in (i) we get,

⇒ r² +

⇒ r² =

⇒ r =

From equation (ii)

⇒ rh =

⇒ h =

∴ Volume of cylinder = πr²h = × 3.5 × 3.5 × 7 = 269.5 cm³