The axial section of the cylinder is square, the base area of the cylinder is 0.64 cm2.
| September 26, 2021 | education
The axial section of the cylinder is square, the base area of the cylinder is 0.64 cm2. Find the total surface area and volume of the cylinder.
By condition, Sbn = π * R ^ 2 = 0.64 cm2.
The lateral surface area is: S side = 2 * π * R * AB, and since ABCD is a square, then AB = 2 * R, then S side = 2 * π * R * 2 * R = 4 * π * R2 = 4 * Sb. = 2.56 cm2.
Determine the radius of the circle at the base of the cylinder. π * R2 = 0.64, then R = 0.8 / √π.
AB = 2 * R = 1.6 / √π.
Then V = Sbn * AB = 0.64 * 1.6 / √π = 1.024 / √π cm3.
Answer: The total surface area is 2.56 cm2, the volume is 1.024 / √π cm3.
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