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Kamila [148]
2 years ago
15

A cylindrical tank with radius 5 m is being filled with water at a rate of 3 cubic meters per minute. How fast is the height of

the water increasing
Mathematics
1 answer:
sasho [114]2 years ago
4 0

Answer:

Step-by-step explanation:

Let's calculate the volume of the tank per each meter in height.

The volume of a cylinder is πr²h, where h is the height.  

A height of 1 meter in a tank with a radius of 5 meters would hold a volume of:

Vol = (3.14)*(5 meters)^2 *(1 meter)

Vol (m^3) = 78.54 m^3 per 1 meter height.

If the tank were filled at a rate of 3 m^3/min, it would rise at at a rate of:

(78.54 m^3/meter)/(3 m^3/min) = 0.0382 meters/minute [38.2 cm/min

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Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each student either likes o
spayn [35]

Answer: There are 32 students who like brussels sprouts but dislike beans.

Step-by-step explanation:

Since we have given that

Number of students eat in the cafeteria = 120

Fraction dislike lime beans = \dfrac{2}{3}

Fraction who dislike lime beans and brussles sprouts both = \dfrac{2}{3}\times \dfrac{3}{5}

Fraction who dislikes lime beans but not brussles is given by

\dfrac{2}{3}(1-\dfrac{3}{5})\\\\=\dfrac{2}{3}\times \dfrac{2}{5}\\\\=\dfrac{4}{15}

So, Number of students who like brussels sprouts but dislike lima beans is given by

\dfrac{4}{15}\times 120\\\\=32

Hence, there are 32 students who like brussels sprouts but dislike beans.

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3 years ago
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Vikentia [17]

Answer:

x=10

Step-by-step explanation:

Because these are vertical angles, they will be congruent.

Ask yourself, "What times 3 is thirty?" or 30÷3=?

Your answer will be 10.

5 0
3 years ago
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Answer:

(-3,10) (0,5) (3,0) (6,-5)

Step-by-step explanation:

x intercept = 3

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You want to purchase a ticket to the movies. A ticket costs at least $12. You have $3. How much more money do you need to purcha
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Answer:

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3 years ago
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How did the temperature change if: At first it increased by 25% and then decreased by 40%
Roman55 [17]

Answer:

24.6 % decrease

Step-by-step explanation:

Let x be the original temperature

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x + .25x

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Subtract that from 1.25x

1.25x - .496x

.754x

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1 - .754 = .246

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3 years ago
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