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JulsSmile [24]
3 years ago
15

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

Mathematics
2 answers:
nadezda [96]3 years ago
4 0

Answer:

The volume become 1/8 th of the initial volume

Step-by-step explanation:

<u>Points to remember</u>

Volume of sphere V = 4/3(πr³)

Where r is the radius of sphere

It is given that radius of sphere is r/2

<u>To find the effect in volume</u>

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)

uranmaximum [27]3 years ago
3 0

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.

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