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A ball contains 5000 cm³ of air.
More air is pumped into the ball at a rate of 160 cm³ per second.
The ball is full of air when it becomes a sphere with radius 15 cm.

Volume of a sphere = 4/3 pi x r cubed
where r is the radius

Does it take less than 1 minute to fill the ball?
You must show your working.