The equation S=4πr2 is given for the surface area of a sphere. Determine the radius of the sphere with a surface area of 135. Round answers to the nearest hundredth.

Respuesta :

Answer:3.277 units

Step-by-step explanation:

Given

The surface area of a sphere is [tex]135\ sq.units[/tex]

The surface area of a sphere is given by

[tex]\Rightarrow S.A.=4\pi r^2[/tex]

Putting values

[tex]\Rightarrow 135=4\times \frac{22}{7}\times r^2\\\\\Rightarrow r^2=\dfrac{135\times 7}{22\times 4}\\\\\Rightarrow r^2=10.738\\\Rightarrow r=\sqrt{10.378}=3.277\ units[/tex]

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