which shaded triangle would generate a cone with a diameter of 6 units and a height of 6 units when rotated about the y-axis?
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If a triangle with a base of 6 units is rotated around the y-axis, it forms a cone. The cone has a height of 6 units and the apex is located 6 units above the base.
- The diameter of the cone is also 6 units, which implies that the radius of the base is 3 units.
- A right triangle with legs of length 3 units and 4 units and a hypotenuse of length 5 units has a base of 3 units and a height of 4 units.
- When this triangle is rotated around the y-axis, it produces a cone with a height of 6 units and a diameter of 6 units.
- The slant height of the cone is equal to the hypotenuse of the right triangle, which is 5 units.
Thus, the shaded triangle with legs of length 3 units and 4 units that is adjacent to the y-axis would generate the cone described in the problem statement when rotated around the y-axis.
To learn more about cone from the given link.
https://brainly.in/question/51598605
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