The external surface area of a hollow cylinder is 540 πsq.cm. Its internal diameter is 16 cm and height is 15 cm. Find the total surface area.
Given : External surface area of hollow cylinder = CSAext = 540 cm2
Internal diameter = d = 16 cm
Height of the hollow cylinder = h = 15 cm
To find : Total surface area = TSA of hollow cylinder = ?
Formula : r =
CSA of cylinder = 2rh
Solution : Internal radius of cylinder = r = = = 8 cm
Internal surface area of hollow cylinder = CSAint = 2πrh
= 2π × 8 × 15
= 16π × 15 = 240π cm2
TSA of hollow cylinder = CSAext + CSAint = 540 + 240
= 780 cm2
∴ The total surface area of the hollow cylinder is 780 cm2.
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