Respuesta :
Answer:
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.
Answer:
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)