What is the volume of a sphere with a surface area of #9pi# #yd^2#?

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Answer 1 · 2017-11-12T18:08:05

#9/2yd^3#

the surface area of a sphere, radius#" "r#

#S=4pir^2#

we have

#9pi=4pir^2#

#=>r^2=(9pi)/(4pi)=9/4#

#:.r=sqrt(9/4)=3/2#

the volume of a sphere

#V=4/3pir^3#

#=4/3xxpixx(3/2)^3#

#=(cancel(4)xxcancel(3)xx3xx3)/(cancel(3)xx2xxcancel(2xx2))pi#

#=9/2yd^3#