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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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In one hour he traced the distance of: 36.15 miles

With one gallon of gas he went: 12.05 miles 

;) There you go! Good Luck!
8 0
3 years ago
Read 2 more answers
A ball is dropped from the top of a building that is 250 feet tall. The
Virty [35]

hi

-16t²+250 = 75

-16t² = 75 -250

-16t² = -175

  t² = -175 /-16

 t² = 175/16

Here there si two solutions :  t = \sqrt{175/16}   and  t =  - \sqrt{175/16}

However, as time cannot rewind,  we will  keep only positive solution

So t = \sqrt{175/16}

   

in seconds  it will be  :  3.3 seconds

3 0
3 years ago
7.4 Practice
pickupchik [31]

The simulation of the medicine and the bowler hat are illustrations of probability

  • The probability that the medicine is effective on at least two is 0.767
  • The probability that the medicine is effective on none is 0
  • The probability that the bowler hits a headpin 4 out of 5 times is 0.3281

<h3>The probability that the medicine is effective on at least two</h3>

From the question,

  • Numbers 1 to 7 represents the medicine being effective
  • 0, 8 and 9 represents the medicine not being effective

From the simulation, 23 of the 30 randomly generated numbers show that the medicine is effective on at least two

So, the probability is:

p = 23/30

p = 0.767

Hence, the probability that the medicine is effective on at least two is 0.767

<h3>The probability that the medicine is effective on none</h3>

From the simulation, 0 of the 30 randomly generated numbers show that the medicine is effective on none

So, the probability is:

p = 0/30

p = 0

Hence, the probability that the medicine is effective on none is 0

<h3>The probability a bowler hits a headpin</h3>

The probability of hitting a headpin is:

p = 90%

The probability a bowler hits a headpin 4 out of 5 times is:

P(x) = nCx * p^x * (1 - p)^(n - x)

So, we have:

P(4) = 5C4 * (90%)^4 * (1 - 90%)^1

P(4) = 0.3281

Hence, the probability that the bowler hits a headpin 4 out of 5 times is 0.3281

Read more about probabilities at:

brainly.com/question/25870256

8 0
2 years ago
Round this amount to the nearest dollar.<br>$4,188.24<br>please im so comfused
NARA [144]
$4,188.24 round to nearest dollar = $4,188
4 0
3 years ago
Solve for x <br> -3(-5x+2)+x-3=39
omeli [17]
15x-6+x-3=39
16x-9=39
16x=39+9
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x=48/16
x=3
4 0
3 years ago
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