Find an equation of a sphere if one of its diameters has endpoints (4, 1, 6) and (8, 3, 8).

The equation of a sphere with endpoints at (4, 1, 6) and (8, 3, 8) is .

Step-by-step explanation:

Given the extremes of the diameter of the sphere, its center is the midpoint, whose location is presented below:

Any sphere with a radius and centered at is represented by the following equation:

Let be and , the radius of the sphere is now calculated:

The equation of a sphere with endpoints at (4, 1, 6) and (8, 3, 8) is .

555.99.

step-by-step explanation:

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in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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