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What is the volume of a sphere with a surface area of ​ 64π ​cm²?

​​ 16π cm³

2113π cm³

​ 48π ​ cm³

​ 8513π ​  cm³

 Feb 13, 2018
 #1
avatar+429 
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SA=64π

64π/4π=16

√16=4

r=4

v=4/3πr³

v=4/3π*4³

v=4/3π*64

v=85.3πcm³

 

smileysmileysmiley

 Feb 13, 2018
 #2
avatar+23660 
+1

Surface area of a sphere:  4 pi  r^2

64 pi  cm^2  =  4 pi r^2

Yields  r=  4

 

Volume of a sphere  4/3 pi r^3

    4/3 pi 4^3  = 268.08 cm^3

 Feb 13, 2018

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