Question

read the sentences below, filling in the blanks with items from this list. each item will be used once. diameter thread radius space volume two a the distance from the center of a sphere to any point on its surface is the ____ the distance across a sphere through its center is called the __ the amount of space occupied by a three - dimensional object is known as its __ in the formula for the volume of a sphere, the radius is raised to the power of __ when given the diameter of a sphere, the radius can be found by dividing the diameter by __ the volume of a sphere is a measure of the three - dimensional __ it occupies. if the radius of a sphere is doubled, then the volume increases by a factor of ____

Explanation:

Each blank is filled using the provided terms, matching geometric definitions and sphere volume properties, with each term used once.

1. Matches the definition of the distance from sphere center to surface.
2. Matches the definition of the cross-center distance of a sphere.
3. Matches the definition of 3D object's occupied space measure.
4. Matches the exponent of radius in the sphere volume formula $V=\frac{4}{3}\pi r^3$.
5. Matches the relationship between radius and diameter ($r=\frac{d}{2}$).
6. Matches what volume measures for a 3D sphere.
7. Calculated by comparing volumes: $V_2=\frac{4}{3}\pi (2r)^3=8\times\frac{4}{3}\pi r^3=8V_1$.

Answer:

1. radius
2. diameter
3. volume
4. Three
5. Two
6. space
7. 8