Consider the two similar water bottles for athletes

A

Step-by-step explanation:

The bottles are cylindrical.  The volume of a cylinder is:

V = πr²h

where r is the radius (half the diameter) and h is the height.

The bottles are similar, so we can write a proportion to find the height of the smaller bottle:

3/10 = 1.5/h

h = 5

The volume of the big bottle is:

V = π(3/2)²(10)

V ≈ 70.7

The volume of the small bottle is:

V = π(1.5/2)²(5)

V ≈ 8.8

So the difference in volume is:

V = 70.7 - 8.8

V = 61.9

b