F(x) 5,450(1.024)^x The domain for the function that represents the amount of time the money will be in the college fund is _

the volume of the sink shaped like a half sphere is [2000/3] π in^2.

a) the volume of a cylinder is the area of the base * height

for this part the cup has a diameter, d, of 4 in and height, h, of 8 in.

the area of the base is π (d/2)^2 = π (2 in)^2   =   4π in^2.

the volume of the cuo is 4π in^2 * 8 in = 32π in^3.

then the number of cups to take the volume of [2000 / 3] π in^2 is:

[2000 / 3]π / [32π] = 20.83

answer: 21 cups.

b) for this part the diameter of the cup is 8 in and the height is 8 in

then the volume is π (4 in)^2 * 8 in = 128 ⇅ in^3

and the number of cups needed is [2000π/3] / (128π) = 5.2

answer: 5 cups