Answer:
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
