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saul85 [17]
4 years ago
15

Anthony has a sink that is shaped like a half-sphere. The sink has a volume of 20003π in^3. One day, his sink clogged. He had to

use a cylindrical cup to scoop the water out of the sink. The sink is completely full when Anthony starts scooping.
The cup is a cylinder and has a diameter of 4 inches and a height of 8 inches.

How many cups of water must Anthony scoop out of the sink in order to empty it.
Show your work
Mathematics
1 answer:
Snezhnost [94]4 years ago
8 0

Answer:

About 312.55 cups

Step-by-step explanation:

For this, we need to find the volume of the cup and divide 20003π in³ by it.

The diameter is 2 radii so the radius of the base would be 2

First we need the formula for a cylinder's volume which is: 2πr²*h

Putting in the variables:

2π*2²*8=

2π*4*8=

2π*32=

64π

Now dividing the total volume of the sink by the cylindrical cup, we get

20003π/64π= 312.546875 or simplified to the nearest hundredth: 312.55

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All help is appreciated !
vlada-n [284]
X equals 2/ab I’m pretty sure
5 0
3 years ago
Point R is at (2, 1.2) and Point T is at (2, 2.5) on a coordinate grid. The distance between the two points is
Sergeu [11.5K]
<h3>Answer:   1.3</h3>

========================================

Work Shown:

The two points we have are (x_1,y_1) = (2,1.2) and (x_2,y_2) = (2,2.5)

Apply the distance formula

d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(2-2)^2+(1.2-2.5)^2}\\\\d = \sqrt{(0)^2+(-1.3)^2}\\\\d = \sqrt{0+1.69}\\\\d = \sqrt{1.69}\\\\d = 1.3\\\\

-------------------------

A shortcut is possible by subtracting the y coordinates of the two points, and making the result positive through the use of absolute value.

So we either say

|y1-y2| = |1.2-2.5| = |-1.3| = 1.3

or,

|y2 - y1| = |2.5 - 1.2| = |1.3| = 1.3

We get the same result. This shortcut is valid because the x coordinates of both points are the same.

5 0
3 years ago
I need Help with #5 please​
Oksanka [162]

Answer: 25

Step-by-step explanation: As 2.5 inches is only half of the top part of the cylinder you need to add the additional 2.5 inches. So, 2.5 + 2.5 is 5:

And you need 5 inches for each cylinder.

2.5 + 2.5 = 5

5 x 5 = 25

There's your answer!

3 0
4 years ago
How do you find the volume to cubic units
ivolga24 [154]

Answer:

You multiply the length, width, and height

Step-by-step explanation:

7 0
3 years ago
Vector bought 15.6 pounds of paintballs.All together,the balls cost $35.99. About how much did the paintballs cost per pound
belka [17]
$2.30 Hope this helps!
7 0
4 years ago
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