The volume of a sphere whose diameter is 18 centimeters is 246 324 648 972 π cubic centimeters. if its diameter were reduced by half, its volume would be 1/2 1/4 1/6 1/8 of its original volume.

Answer with Step-by-step explanation:

Volume of sphere is given by

V=

where r is the radius of sphere

Let d be the diameter then, r=d/2

d=18 cm

⇒ r=9 cm

V=

V=

V=972π cubic centimeters

When diameter is reduced to half

⇒radius is reduced to half

⇒ r'=r/2

⇒V'=

⇒ V'=

⇒ V'=V/8

Hence, If its diameter were reduced by half, its volume would be 1/8 of its original volume.

the correct option is b

step-by-step explanation: