Answer:
The ratio of the current volume to the original one is 2.28
Step-by-step explanation:
Since the radius of the ball increased at a rate of 0.25 cm/s and Andy spent 4 seconds making it bigger, then the ball's radius increased by 4*0.25 = 1 cm. The volume of a sphere is given by:
volume = (4/3)*pi*r³
The original volume of the ball was:
volume1 = (4/3)*3.14*(3)³ = (12.56/3)*27 = 12.56*9 = 113.04 cm³
The final volume of the ball was:
volume2 = (4/3)*3.14*(3 + 1)³ = (12.56/3)*(4)³ = (12.56/3)*64 = 257.95 cm³
The ratio of the current volume of the ball to the original one is:
ratio = volume2/volume1 = 257.95/113.04 = 2.28
