The cylinder is inscribed in a rectangular parallelepiped, the radius of the base
| September 25, 2021 | education
The cylinder is inscribed in a rectangular parallelepiped, the radius of the base and the height of the cylinder is 6. Find the volume of the parallelepiped.
Since the cylinder is inscribed in a parallelepiped, the height of the cylinder will be equal to the height of the parallelepiped, and the side of the base of the parallelepiped is equal to the diameter of the base of the cylinder.
AD = AB = OH * 2 = 6 * 2 = 12 cm.
AA1 = OO1 = 6 cm.
Let’s define the volume of the parallelepiped.
V = AB * AD * AA1 = 12 * 12 * 6 = 864 cm3.
Answer: The volume of the parallelepiped is 864 cm3.
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