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lesantik [10]
2 years ago
5

utorial Exercise A cylindrical tank with radius 4 m is being filled with water at a rate of 2 m3/min. How fast is the height of

the water increasing (in m/min)
Mathematics
1 answer:
SIZIF [17.4K]2 years ago
3 0

Step-by-step explanation:

volume of a cylinder is

ground area × height = pi×r²×h

r = 4

what we need to calculate is how high the water stands with one "serving" of 2m³.

that height is then added every minute (with the additional 2m³ during that minute).

so,

2 = pi×4²×h = pi×16×h

2/16 = 1/8 = pi×h

h = (1/8) / pi = 1/(8pi) = 0.039788736... m

that is rounded about 0.04 m or 4 cm.

therefore, the water rises by 0.04 m or 4 cm per minute

0.04m/min

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Pls help me thank you <3
Dafna1 [17]

Answer:

1. 9x³

2.5b³

3.2d

4. 68x³

6 0
3 years ago
Read 2 more answers
How many groups of 3/8 can fit into 3/4. Notice it is not asking how many 1/8 you can fit
svetlana [45]

Answer:

2

Step-by-step explanation:

You can fit two groups of 3/8. 3/4 is equivalent to 6/8. 3/8 goes into 6/8 two times therefore the answer is two groups of 3/8.

6 0
3 years ago
I'm not sure what this means, please help me I'll give you 10 points ;)
Karo-lina-s [1.5K]

<u>Answer:</u>

So all the possible solutions are:

  • \bold{523,~400,~379~and,~378.6}

<u />

<u>Solution Steps:</u>

<em>First you need to solve the real inequality to understand how to find the rest of the possible equations. </em>

<u>Add 78 to both sides:</u>

  • <u />78+78= Cancels Out
  • 300+78=378

<em>So now we know the real answer, but it ask for all possible answers. </em>

(Means anything larger than 300 when you plug it into x - 78 > 300.)

<u>Numbers that are greater than 378:</u>

  1.)  377-78=299 > 300  (False)

  2.)  523-78=445>300  (True)

  3.)  0-78=-78>300  (False)

  4.)  -62-78=-140>300  (False)

  5.)  400-78=322>300  (True)

  6.)  379-78=301>300  (True)

  7.)  222-78=144>300  (False)

  8.)  378.6-78=300.6>300 (True)

______________________________

 \bold{Hope~this~helps!}\\\bold{If~you~need~help~with~anything~else,~feel~free~to~ask!}\\\\\bold{~~~~~-TotallyNotTrillex}

5 0
3 years ago
a store advertises that customers can take 25%off the original price and then take an extra 10%off is this 35% of? explain
GrogVix [38]
No its not 35%. Its 32.5 %
If it costs 100$
25% × 100$ = 25$
So price after 25% off is 100$ - 25$ = 75
10% × 75$ = 7.5 $
75$ - 7.5$ = 67.5$
100 - 67.5 = 32.5
8 0
3 years ago
This is a pond in the shape of a prism. it is completely full of water colin uses a pump to empty the pond. The level goes down
lapo4ka [179]

The required time is mathematically given as

t-150 minutes.

This is further explained below.

<h3>What is the time?</h3>

We know that the volume of the prism is given by.

Volume $=$ (Base Area $) \times$ Height

Base Area  $=\frac{1}{2} \times(1.4+0.6) \times 2$

Base Area $=2 \mathrm{~m}^2$

Now,

Volume $=2 \times 1=2 \mathrm{~m}^3$

Given that there is a twenty percent drop in the level of the pond during the first thirty minutes.

Because of this, the volume increases.

Volume $=2 \times 0.8=1.6 \mathrm{~m}^3

Now, the rate of emptying the tank is,

=\frac{2-1.6}{30}=\frac{1}{75} \mathrm{~m}^3 / \mathrm{min}

In conclusion, We also know that,

$$

\begin{aligned}&\text { time }=\frac{\text { volume }}{\text { rate }} \\&\text { time }=\frac{2}{\frac{1}{75}}-150 \mathrm{~min}\end{aligned}

Therefore, Colin must wait for the pond to drain for a total of 150 minutes.

Read more about the time

brainly.com/question/28050940

#SPJ1

6 0
2 years ago
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