Andy had a snowball (a perfect sphere) with a radius of
3 cm. He wanted the snowball to be bigger, so he spent
4 seconds packing more snow onto it. Each second he
spent packing, the snowball's radius increased by
0.25 cm.
What is the ratio of the current volume of the
snowball to the original volume of the snowball?

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

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.