A toy ball in the shape of a sphere expands and contracts. When it is completely closed, it has a diameter of 12.5 inches. Find the volume of the sphere when it is completely closed. Use 3.14 for
π.
(Hint: the volume of a sphere of radius r is
4/3πr3.

The volume of the sphere is

Explanation:

Given that the diameter of the toy ball is 12.5 inches

We need to determine the volume of the toy ball.

The radius of the toy ball is given by

Thus, the radius of the toy ball is 6.25 in

The volume of the sphere can be determined using the formula,

Substituting the values, we get,

Multiplying, we get,

Substituting , we have,

Simplifying, we get,

Thus, the volume of the sphere is

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step-by-step explanation:

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.