What is the effect on the volume of a sphere if the radius is divided by 2?

volume of sphere if radius is divided by 2 is 1/8 of volume of sphere with r radius.

Step-by-step explanation:

The formula to find volume of sphere is:

Volume of sphere  = 4/3 π r^3

if radius is divided by 2 i.e r/2

Volume of sphere if r/2 = 4/3 π (r/2)^3

                                      = 4/3 π r^3/8

                                      =  (4/3 π r^3) / 8

                                      = (Volume of sphere 1)/8

So, volume of sphere if radius is divided by 2 is 1/8 of volume of sphere with r radius.

The volume become 1/8 th of the initial volume

Step-by-step explanation:

Points to remember

Volume of sphere V = 4/3(πr³)

Where r is the radius of sphere

It is given that radius of sphere is r/2

To find the effect in volume

Here r = r/2

V = 4/3(πr³)

V = 4/3(π(r/2)³)

  = 4/3(πr³/8)

  = 1/8( 4/3(πr³)

New volume = 1/8(V)

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2