What is the diameter of a sphere that has a volume of #972pi# #i n^3#??

1 Answer
Jun 6, 2016

Diameter is #18# inches.

Explanation:

Volume of a sphere whose radius is #r# is given by #4/3pir^3#

Hence as #4/3pir^3=972pi#

#r^3=972pixx3/(4pi)=243cancel(972)cancel(pi)xx3/(cancel(4pi))=729#

#r=root(3)729=root(3)(9xx9xx9)=9#

Hence, diameter is #9xx2=18# inches.