The ratio between the curved surface area and the total surface area of a right circular cylinder is 1:2. Find the volume of the cylinder if its total surface area is ![]()
Given,
Total surface area of cylinder = 616 cm2
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⇒ 2h = r + h
⇒ h = r……………………….(i)
2πr (h + r) = 616
⇒ r (r + r) = ![]()
⇒ r2 = ![]()
⇒ r = ![]()
H = 7 cm
∴ Volume of cylinder = πr2h =
× 7 × 7 × 7 = 22 × 49 = 1078 cm3