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Ronch [10]
2 years ago
13

A cylinder has an 18-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed w

ithin the cylinder, and then the cylinder is filled with water. How much water is in the cylinder? Give your answer in terms of pi. (1 point) 1,162π in3 1,179π in3 1,215π in3 1,251π in3
Mathematics
1 answer:
evablogger [386]2 years ago
7 0

The water in the cylinder will be 1179π in³. Thus, 2nd answer choice is correct.

<h3>What is the volume of a right circular cylinder?</h3>

Suppose that the radius of the considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

V = \pi r^2 h \: \rm unit^3

A cylinder has an 18-inch diameter and is 15 inches tall. It is filled to the top with water.

A 6-inch-diameter ball is placed within the cylinder, and then the cylinder is filled with water.

We have to find the volume of the empty cylinder and then the volume of the ball.

Subtract the latter from the former.

The volume of the cylinder = πr^2h.  

= π(9 in)²(15 in)

= 1215π in³

Volume of the ball =  (4/3)π(3 in)³

                                = 36π in³

Subtracting

= 1215π in³ - 36π in³

= 1179π in³  

Thus, 2nd answer choice is correct.

Learn more about the volume of cylinder here:

brainly.com/question/12763699

#SPJ1

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Lets take   (-4) - (-6) 
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            =. -4 + 6 = 2

so here we got the answer as 2 .....this shows that </span>your answer will be less than the integer you started with ....this is because here in subtraction we will first change the sign and then follow the same rules of addition ...so here if both the numbers have opposite signs then we subtract and put the greater number sign .....
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harina [27]
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8 0
2 years ago
5. Marie buys 2 pounds of turkey and 1 pounds of ham. She pays a total of $20,
NARA [144]

Answer:Let t = cost per pound of turkey

Let h = cost per pound of ham

 

4t + 2h = 30

t = h - 1.5

 

substitute h-1.5 in place of t in 1st equation

 

4(h-1.5) + 2h = 30

4h - 6 + 2h = 30

6h - 6 = 30

6h = 36

h = 6

 

t = h-1.5 = 4.5

 

1 pound of turkey costs $4.50

1 pound of ham costs    $6.00

                                ----------

cost of 1 pound each  $10.50

Step-by-step explanation:

8 0
2 years ago
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Ne4ueva [31]
4.1 rounded to the nearest ones is 4
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How much water must be evaporated from 36 ounces of a 8% salt solution to make a 9% salt solution?
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Answer:

  4 oz of water must be evaporated

Step-by-step explanation:

If we let x represent the amount of water to be evaporated, the relation between the solutions is ...

  0.08 · 36 oz = 0.09 · (36 -x) oz

  0.09x = 36(0.09 -0.08) . . . . . divide by oz; add .09x, subtract .08·36

  x = 36· 0.01/0.09 = 36/9 = 4

4 ounces of water must be evaporated.

3 0
3 years ago
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