Question

If the radius ( r ) of a sphere is reduced to its half. Then, find its new volume

Answer 1

volume when radius = r
V = 4/3 pi r^3

when radius is r/2..
then V = 4/3 pi r^3/2^3

V = 4/3 pi r^3/8....ans.

We can say that the new volume is 1/8th part of the main volume.

Answer 2

Answer: If the radius of the sphere is reduced to it's half, then the volume of the sphere will reduce by 8 times.

Step-by-step explanation:

1. We know that, the volume of the sphere is given by , V=(4/3)(pi)(r^3)

Where 'V' is the volume of the sphere and 'r' is the radius of the sphere.

2. Volume of the sphere is inversely proportional to cube of the radius of the sphere.

3. When the radius of the sphere is reduced by 2 times, then the volume equation becomes,

V=(4/3)(pi)(r/2)^3 = (1/8)(4/3)(pi)(r^3).

4. Hence the volume decreases by 8 times.