Question

Please help i have such a low GPA and i have to get it up so i can get into high school 100 points


Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit.
Total score: ____ of 15 points
(Score for Question 1: ___ of 4 points)
Anthony has a sink that is shaped like a half-sphere. The sink has a volume of . 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.
One cup has a diameter of 4 in. and a height of 8 in. How many cups of water must Anthony scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
One cup has a diameter of 8 in. and a height of 8 in. How many cups of water must he scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
Answer:

Answer 1

Answer:

Well, 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. Good Luck!

From ~Itsbrazts~.

Answer 2

Answer:

See the 2 answers below.

I would go with 2 scoops but look over it to make sure.

The work:

Volume of cylinder cup = pi r^2 h  = pi 2^2 8 = 32 pi    in^3

volume of sink/volume of cup = number of cups

2000/(3pi)  /   32 pi    = 2 scoops

Or, if you meant the volume  is pi *2000/3      

then  pi*   2000/3  /   32 pi = 21 scoops