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Question 1 (6 points) Retake question ✓ Saved
Anthony's sink is shaped like a half-sphere, and it has a volume of 512n cubic inches.
It is completely full of water, and he has two different cylindrical cups he can use to
scoop it out.
The blue cup has a diameter of 4 in. and a height of 8 in., and the green cup has a
diameter of 8 in. and a height of 8 in.. How many cupfuls of water will it take for him
to empty his sink using each cup?
In your answer, give the number of cupfuls it will take to empty the sink using each
cup, and then explain how you calculated it.

Respuesta :

Answer:

The green would take 4 and the blue would take 16 times respectivly.  I did it by finding the volumes of the cups in terms of pi, then dividing it by the volume of the sink.

Step-by-step explanation:

So the volume of the whole half sphere is 512pi.

Now we have to find the volumes of the cup.

Equation: [tex]\pi r^2h[/tex]

Blue cup:

[tex]\pi 2^2(8)\\\pi 4(8)\\\pi 32[/tex]

It would take 16 times to drain it completly.

Green cup:

[tex]\pi 4^2(8)\\\pi 16(8)\\\pi 128[/tex]

It would take 4 times to drain it completly.

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