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MA_775_DIABLO [31]
2 years ago
15

When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a ra

te of 0.7 meters per hour. Which of the following best approximates the radius of the tank in meters?
Mathematics
1 answer:
Sergeu [11.5K]2 years ago
5 0

Answer:

r=\sqrt{10}\text{ m}

Step-by-step explanation:

We have been given that when a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. We are asked to find the approximate radius of tank in meters.

We will use volume of cylinder formula to solve our given problem as:

V=\pi r^2h, where,

r = Radius,

h = Height of cylinder.

Since the level of water in the tank rises at a rate of 0.7 meters per hour, so height of cylinder would be h = 0.7 meters at V=22\text{ m}^3.

Upon substituting these values in above formula, we will get:

22\text{ m}^3=\frac{22}{7}\cdot r^2(0.7\text{ m})

22\text{ m}^3=\frac{22}{10}\cdot r^2\text{ m}

\frac{10}{22}\cdot\frac{22\text{ m}^3}{\text{m}}=r^2

r^2=\frac{10}{22}\cdot\frac{22\text{ m}^3}{\text{m}}

r^2=10\text{ m}^2

Now, we will take positive square root of both sides as radius cannot be negative.

\sqrt{r^2}=\sqrt{10\text{ m}^2}

r=\sqrt{10}\text{ m}

Therefore, radius of tank would be approximately square root of 10 m.

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3 years ago
Tim Worker is doing his budget. He discovers that the average electric bill for the year was $206.00 with a standard deviation o
ivanzaharov [21]

Answer:

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<h3>Step-by-step explanation:</h3>

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... z = (184 -206)/10 = -2.2 . . . . for $184

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... -2.2 corresponds to the 1.390 percentile. (That amount of area is below -2.2 standard deviations from the mean.)

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7 0
2 years ago
Calculate the distance between the two given point T(6,-2),U(-2,-12)
slava [35]
Use the distance formula: \sqrt{(x2 - x1)^2 + (y2 - y1)^2}

(6, -2), (-2, -12)
\sqrt{(-2 - 6)^2 + (-12 - -2)^2} ⇒ \sqrt{(-8)^2 + (-10)^2}
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The distance between points T and U is 12.8 units.
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2 years ago
What is the answer to 16&gt; 1.5 + 0.8b
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Answer:

16>2.3b

Step-by-step explanation:

1.5+0.8=2.3

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8 0
3 years ago
Three of exterior angle of n-sided polygon are 50° each two of it's interior angle are 127° and 135° and the remaining interior
irga5000 [103]

Answer:

The value of n is 21.

Step-by-step explanation:

We are given that three of the exterior angle of the n-sided polygon are 50° each two of its interior angle are 127° and 135° and the remaining interior angle are 173 each.

As we know that the sum of all exterior angles of the polygon is 360°. Also, the number of remaining interior angles will be (n - 5).

And, the exterior angle = 180° - the interior angle.

So, according to the question;

(3 \times 50) + (180-127) + (180 - 135) + (n - 5)\times (180-173) =360

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Hence, the value of n is 21 and this is a 21-sided polygon.

4 0
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