The volume of the a sphere whoes diameter is 18 cm is cubic cm . if it's diameter were reduced by half, it's volume would be of its original volume

The new volume is 8 times smaller than the original volume

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x ----> the volume of the reduced sphere

y ----> the volume of the original sphere

so

we have

----> scale factor

substitute

therefore

The new volume is 8 times smaller than the original volume

Verify

The volume of the original sphere is

---> the radius is half the diameter

the volume of the reduced sphere is

---> the radius is half the diameter

Divide the volumes

step-by-step explanation:

hjkj

the equation is not included but the answer is (1.50, 2.00, 2.75)

step-by-step explanation: