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the surface area of a sphere is 75 square centimeters, what is the volume of the sphere in cubic cm?

 Nov 9, 2016
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the surface area of a sphere is 75 square centimeters,

what is the volume of the sphere in cubic cm?

 

Formula:
The volume inside a sphere is: V=43πr3V=?.

The surface area of a sphere is: A=4πr2A=75 cm2.

 

VA=43πr34πr2VA=134π4πr2r2rVA=13rV=13rA

 

Radius r:
A=4πr24πr2=A|:4πr2=A4π|r=A4πr=12Aπ

 

Volume V:

V=13rA|r=12AπV=1312AπAV=16A3π|A=75 cm2V=16(75 cm2)3πV=16753π cm3V=16134286.983234 cm3V=16366.451883927 cm3V=61.0753139879 cm3

 

 

The volume of the sphere is 61.1 cm3

 

 

laugh

 Nov 9, 2016

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