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.

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

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 

5 cups. Good Luck!

From ~Itsbrazts~.

12/11c

or

12

c

11

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3