The total surface area of the cylinder is twice the area of its lateral surface.
| September 27, 2021 | education
The total surface area of the cylinder is twice the area of its lateral surface. Find the volume of the cylinder if its height is 2 cm.
By condition, Sпов = 2 * Sides.
Also Sпов = Sbok + 2 * Sпов.
Then 2 * S side = S side + 2 * S main.
S side = 2 * S main.
2 * π * OA * AB = 2 * π * AB ^ 2.
AB = OA = 2 cm.
Then Sop = π * ОА ^ 2 = 4 * π cm2.
V = S main * AB = 4 * π * 2 = 8 * π cm2.
Answer: The volume of the cylinder is 8 * π cm2.
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