The surface area of a beach ball is 144π in2. Find the volume of air the beach ball will hold when it is fully inflated.

A)
16π in3

B)
36π in3

C)
144π in3

D)
288π in3

Question

The surface area of a beach ball is 144π in2. Find the volume of air the beach ball will hold when it is fully inflated.


A)
16π in3	

B)
36π in3	

C)
144π in3	

D)
288π in3

pooja195 · Answer

Surface Area of a sphere = 4πr² = 144π in²

pooja195 · Answer

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pooja195 · Answer

4πr² = 144π 
r² = 144π/4π = 36 
r = √36 = 6 in

pooja195 · Answer

volume of the beach ball (sphere) is = (4/3)πr³ 

 Volume of the air the beach ball will hold when fully inflated 
= (4/3)πr³ 
= (4/3)π(6)³ 
= 288π in³

anonymous · Answer

thanks