Question

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

Answer 1

The volume become 1/8 th of the initial volume

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)

Answer 2

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

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.