If the radius of a sphere is cut in half, how will the volume of the original sphere and the new sphere compare?

The volumes will be in the ratio of the cubes of their radii.

Say the radius of the original sphere is 2 and the radius of the new sphere is 1 then the ratio of their volumes will be  2^3 to 1^3

= 8 : 1.

The new sphere will have a volume of 1/8 of the original.

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.