SOLUTION: The volume of a sphere is 3200 cubic centimeters. What is the approximate diameter of this sphere ? (Volume of a sphere= 4/3piR^3 A.16.45cm B.18.28cm D.9.14cm

Algebra ->  Bodies-in-space -> SOLUTION: The volume of a sphere is 3200 cubic centimeters. What is the approximate diameter of this sphere ? (Volume of a sphere= 4/3piR^3 A.16.45cm B.18.28cm D.9.14cm      Log On


   

Question 1035170: The volume of a sphere is 3200 cubic centimeters. What is the approximate diameter of this sphere ? (Volume of a sphere= 4/3piR^3
A.16.45cm
B.18.28cm
D.9.14cm
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Given that volume
V+=+%284%2F3%29%2Api%2Ar%5E3
we work backwards to find
%283%2F4%29V+=+pi%2Ar%5E3
3V%2F4%28pi%29+=+r%5E3
r+=+%283V%2F4%28pi%29%29%5E%281%2F3%29
so that r = (3*3200/4(3.14))^(1/3) = 9.14 cm
But the question asks for diameter, which is twice the radius...thus
Choice B.