A cylindrical tank has a height of 10 feet and a radius of 4 feet. Carla fills the tank with water at a rate of 8 cubic feet per minute. At this rate, how many minutes will it take Carla to completely fill the tank without it overflowing? Round your answer to the nearest minute.

Answers

Answer 1
Area = 10(pi)(16) = 160pi cubic feet
160pi = 502.56
502.56/8 = 63 minutes
Answer 2

The time it will take for Jane to completely fill the tank without overflowing would be 62.8 minutes.

Used the concept of the volume of the cylinder:

The volume of the cylinder can be determined using the formula,

[tex]V = \pi r^2h[/tex]

Given:

A cylindrical tank has a height of 10 feet.

The radius of the cylindrical tank is 4 feet.

Jane fills the tank with water at a rate of 8 cubic feet per minute.

Since, the volume of the cylinder:

[tex]V = \pi r^2h[/tex]

Substituting the values, we have;

[tex]V = 3.14 \times 4^2 \times 10[/tex]

[tex]V = 502.4 \tex{ feet^3 }[/tex]

Thus, the volume of the cylinder is 502.4 cubic feet.

Time taken:

The time taken can be determined using the formula,

[tex]\text{Time} = \dfrac{\text{Volume}}{\text{Rate of filling}}[/tex]

Substituting the values, we have;

[tex]\text{Time} = \dfrac{\text{502.4}}{\text{8}}[/tex]

[tex]\text{Time} = 62.8[/tex]

Thus, Jane takes 62.8 minutes to completely fill the tank without overflowing it.

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Related Questions

2. ABC: You eat at your favorite restaurant, and your bill is $52.60. On top of that, you need to pay 8% sales tax, and leave a 20% tip for the waiter based on the pre-tax amount. How much will you pay total?​

Answers

Answer:

$67.25

Step-by-step explanation:

52.60 x 8%  = 52.60 x 0.08 = 4.21

52.60 x 20% = 52.60 x 0.20 = 10.44

52.60 + 4.21 + 10.44 = 67.25

the square of a negative number increased by 6 times the number is 72. Find the number.

Answers

Answer:

y = 6

Step-by-step explanation:

(y + 6) × y = 72

y = negative number²

When negative numbers are squared they become positive.

y = 6

Check

(6 + 6) × 6 = 72

12 × 6 = 72

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Step-by-step explanation:

here u go dear

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64.44

Step-by-step explanation:

Area of the rectangle:

A = bh

A = 7 x 11

A = 77

Area of a circle:

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A = 3.14(2²)

A = 3.14(4)

A = 12.56

Combined:

77 - 12.56

64.44

In the image, pretty sure 24 is a plane. Not sure about 23.

Answers

9514 1404 393

Answer:

  23. A  (postulate)

  24. A  (line)

Step-by-step explanation:

23. A postulate is assumed true without proof. A theorem must be proven before it can be used as a reason in a proof. Postulates, theorems, and definitions can all be used as reasons in a proof.

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24. Two planes intersect in a line. An example is attached.

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A is the answer. Since they will both be divided by 4 due to the same amount of points, because Globrite has a greater range, it will have a greater mean. Glo brite also ranges bigger than Luminate

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the easiest way to write that in an expression:
(11 x 3.5) -9

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Answer:

x<8

Step-by-step explanation:

Answer:

x<8

Step-by-step explanation:

−3x+7>−17

Step 1: Subtract 7 from both sides.

−3x+7−7>−17−7

−3x>−24

Step 2: Divide both sides by -3.

−3x

−3

>

−24

−3

x<8

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Answer:

x = 4 or x = -1

Step-by-step explanation:

2x^2 - 8x + 6 =0

divide by 2 we get  : x^2 -4x +3 = 0

(x -4) (x+1)

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There's a theorem for this: the angle made by two intersecting secants of a circle has a measure equal to half the difference of the arcs the secants intercept. In this case,

x = (130° - 30°) / 2 = 50°

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Answer:

This percent is a decrease

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Step-by-step explanation:

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Answers

Answer:

(- 1, 2 )

Step-by-step explanation:

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x + 2y = 3 → (1)

3x + 5y = 7 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

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Substitute y = 2 into either of the 2 equations and solve for y

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x + 2(2) = 3

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(2,1)

Step-by-step explanation:

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A particular order in which related events, movements, or things follow each other.

Step-by-step explanation:

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Answer:

I got 40, but the picture cuts off so I don’t know if there’s another number.

Step-by-step explanation:

Just do 8 times 5 to get 40!

Hope this helped!

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]

40

just do 5 × 8

i remember this lesson when i was grade 4:)

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Mary was allowed a discount of 11% for goods worth sh.8000 and a discount of 8.6% for goods worth sh.17000. What percentage discount was she allowed altogether ​

Answers

Mary got 9.37%. discount .

What is percentage discount?A percentage discount is a reduction in the price of a good or service that is expressed as a number of hundred. A 20 percent reduction, for instance, would result in an item that was originally $100 costing $80.

Given ,

             discount = 11%

So,

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           ⇒     2342 / (8000+17000) = 2342/25000

                                    = 0.0937 or 9.37% discount.

The percentage discount allowed all together was 9.37%.

Learn more about percentage discount

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A 90 degree clockwise rotation moves a point to the exact same location as what other rotation?

Answers

Answer:

12+hd

Step-by-step explanation:

Answer:

Rule : When we rotate a figure of 90 degrees clockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure. Let us look at some examples to understand how 90 degree clockwise rotation can be done on a figure.

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Correct ~~~~~~~~~~~~~~~~~~~~~~

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x/-3.5+33=30

Answers

Answer:

0.5

Step-by-step explanation:

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Answer:

Step-by-step explanation:

4 - x = - 8

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D

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Answer:

The slope is 1

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(0-7)/(-10+3)=

-7/-7= 1

Answer:

m  =  1

Step-by-step explanation:

Slope is:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-3, 7) and (-10, 0).

[tex]\frac{0-7}{-10-(-3)}=\frac{-7}{-7} =\boxed{1}[/tex]

The slope is 1.

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Diana is painting a circular mural on her wall. Her mural is going to have a diameter of 7 feet. How much wall space will she be painting?

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The figure is a parallelogram so the facing sides have equal size which means :

DE = GF & DG = EF

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

DE = 3x - 1 , GF = 2x + 11

DE = GF ==》 3x - 1 = 2x + 11

subtract sides minus 2x

==》- 2x + 3x - 1 = - 2x + 2x + 11

collect like terms

==》 x - 1 = 11

add sides 1

==》 x - 1 + 1 = 11 + 1

==》 x = 12

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

As we found : DG = EF

DG = 2x - 3 So EF = 2x - 3

To find the size of EF, we need to put the value of x (which we found above) instead x.

EF = 2 × ( 12 ) - 3 ==》 EF = 24 - 3

==》 EF = 21

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Aziz purchesis 4 2/8 feet of fabric he used 1/5 of fabric to make a tote bag how much fabric will aziz have left over?

Answers

Answer:

3/20

Step-by-step explanation:

Fabric left over = total fabric purchased - total fabric used to make a tote bag

total fabric used to make a tote bag = [tex]4\frac{2}{8}[/tex] × [tex]\frac{1}{5}[/tex] =

[tex]\frac{34}{8}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{34}{40}[/tex]

fabric left over = 1 - 34/40

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To transform to the simplest form. divide both the numerator and the denominator by 2

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The amount of money earned by Alejandro varies directly to the number of hours
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$474
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$150
$100

Answers

Answer:

474

Step-by-step explanation:

38/12= 3.16

3.16x150=474

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