Answer:
[tex]\large\boxed{\large\boxed{85cups}}[/tex]
Explanation:
1. Volume of a cup
The shape of the cup is a cylinder. The volume of a cylinder is:
[tex]\text{Volume of a cylinder}=\pi \times (radius)^2\times height[/tex]
The diameter fo the cup is half the diameter: 2in/2 = 1in.
Substitute radius = 1 in, and height = 4 in in the formula for the volume of a cylinder:
[tex]\text{Volume of the cup}=\pi \times (1in)^2\times 4in\approx 12.57in^3[/tex]
2. Volume of the sink:
The volume of the sink is 1072in³ (note the units is in³ and not in).
3. Divide the volume of the sink by the volume of the cup.
This gives the number of cups that contain a volume equal to the volume of the sink:
[tex]\dfrac{1072in^3}{12.57in^3}=85.3cups\approx 85cups[/tex]
