if a spherical medicine with radius r is broken down in to 1000 spherical small tablets then the css of original spherical medicine will become---- times

since volume is a function of r^3, the radius will be 1/10 of the original (since 1000 = 10^3)

not sure what the css is, but maybe the above will help.

To find the CSS (Cumulative Surface Area) of the original spherical medicine, we need to consider the surface area of each small tablet and then sum them up.

The surface area of a sphere can be calculated using the formula A = 4πr², where A is the surface area and r is the radius.

The CSS of the original spherical medicine can be found by multiplying the surface area of each small tablet by the number of tablets and then summing them up.

So, the formula to calculate the CSS of the original spherical medicine is:

CSS = (surface area of each small tablet) x (number of tablets)

To find the surface area of each small tablet, we need to take into account that the original spherical medicine is broken down into 1000 small tablets. This means that the radius of each small tablet will be given by:

radius of each small tablet = radius of original medicine / cube root of (number of tablets)

Now we can calculate the CSS of the original spherical medicine:

1. Calculate the radius of each small tablet:
- Divide the radius of the original medicine by the cube root of 1000.

2. Calculate the surface area of each small tablet using the formula A = 4πr².

3. Multiply the surface area of each small tablet by 1000 (the number of tablets) to get the CSS of the original spherical medicine.

By following these steps, you can find the CSS of the original spherical medicine when it is broken down into 1000 small tablets.