Question

1.John has a sink that is shaped like a half-sphere. The sink has a volume of 1072 in. One day, his sink

Answer 1

Answer:

$\large\boxed{\large\boxed{85cups}}$

Explanation:

1. Volume of a cup

The shape of the cup is a cylinder. The volume of a cylinder is:

       $\text{Volume of a cylinder}=\pi \times (radius)^2\times height$

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:

         $\text{Volume of the cup}=\pi \times (1in)^2\times 4in\approx 12.57in^3$

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:

          $\dfrac{1072in^3}{12.57in^3}=85.3cups\approx 85cups$