A rectangular parallelepiped with a diagonal of 6 cm is inscribed in the ball. Find the volume of the ball.
| June 24, 2021 | education
The diagonal of a rectangular parallelepiped inscribed in a ball is the diameter of the circle in which it is inscribed.
AD = D = 6 cm.
Then the radius of the ball is: R = D / 2 = 6/2 = 3 cm.
Let’s define the volume of the ball.
Vball = 4 * n * R ^ 3/3 = 4 * n * 27/3 = 36 * n cm3.
Answer: The volume of the ball is 36 * n cm3.
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