Determine how much more air is needed to fill a ball with a diameter of 12in than a ball with a diameter of 9.5in round to the nearest cubic in.

Question

Didnt quite get how to round to nearest cubic inch.

Answer 1

 Volume = 4/3 * pi * radius^3

 

 

Subtracting the volumes:

 

    4/3 * pi * 6^3 - 4/3 * pi * 4.75^ 3

 

   =  4/3 * pi * (6^3 - 4.75^3)

 

   = 4/3 * pi * (216 - 107.171875)

 

   = 4/3 * pi * 108.828125

 

  = 455.85818400526895637275

Answer 2

V = (4/3)πr³

V = (4/3)π(12)³ = 2304π ≈ 7238.22947

V = (4/3)π(9.5)³ = 1143.16666π ≈ 3591.364002

7238.229 - 3591.364 = 7237.2 in³