the volume of a sphere whose diameter is 18 centimeters is ? cubic centimeters. If its diameter were reduced by half its volume would be ? of its original volume.
Accepted Solution
A:
Answer:volume before reducing is 8 times the volume after reducingStep-by-step explanation:volume before reducing=V=4/3πr³=V=4/3π(9)³=972π cm³diameter reduced to half=18/2=9 cmradius=d/2=9/2=4.5 cmvolume of sphere when diameter reduced by 1/2=V=4/3πr³v=4/3 (π)(4.5)³=121.5πvolume before reducing is 8 times the volume after reducing