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

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

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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

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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Answer:

Step-by-step explanation:

4 - x = - 8

Bringing like terms on one side

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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,

        ((8000x0.110) + (17000x0.086)) = 2342

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                                    = 0.0937 or 9.37% discount.

The percentage discount allowed all together was 9.37%.

Learn more about percentage discount

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Answer:

64.44

Step-by-step explanation:

Area of the rectangle:

A = bh

A = 7 x 11

A = 77

Area of a circle:

A = πr²

A = 3.14(2²)

A = 3.14(4)

A = 12.56

Combined:

77 - 12.56

64.44

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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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Step-by-step explanation:

here u go dear

these are the required equation and determined values

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

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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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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,

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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?​

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Answer:

$67.25

Step-by-step explanation:

52.60 x 8%  = 52.60 x 0.08 = 4.21

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52.60 + 4.21 + 10.44 = 67.25

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D

Step-by-step explanation:

hope it helps .

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(-3,7); (-10,0)



For 20 points

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Answer:

The slope is 1

Step-by-step explanation:

(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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Answer:

0.5

Step-by-step explanation:

i will give you brainiest if you give right answer

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the easiest way to write that in an expression:
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The amount of money earned by Alejandro varies directly to the number of hours
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Answer:

474

Step-by-step explanation:

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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.

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Answers

Answer:

(- 1, 2 )

Step-by-step explanation:

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Add (2) and (3) term by term to eliminate x

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y = 2

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

Substituting into (1)

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Step-by-step explanation:

A P E X

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

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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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Answers

Answer:

3/20

Step-by-step explanation:

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

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[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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Step-by-step explanation:

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Step-by-step explanation:

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x<8

Step-by-step explanation:

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Step-by-step explanation:

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