Help ASAP 40 Points and Brainliest Jose has a sink that is shaped like a half-sphere. The sink has a volume of 1072 in3. One day, his sink
clogged. He has to use one of two cylindrical cups to scoop the water out of the sink. The sink is completely
full when Anthony begins scooping.
(a) One cup has a diameter of 2 in. and a height of 4 in. How many cups of water must Jose scoop out of
the sink with this cup to empty it? Round the number of scoops to the nearest whole number.

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 heightVolume of a cylinder=π×(radius)

2

×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^3Volume of the cup=π×(1in)

2

×4in≈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

12.57in

3

Step-by-step explanation:

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step-by-step explanation:

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: