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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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If the sphere shown above has a radius of 14 units then what is the approximate volume of the sphere
oksano4ka [1.4K]

Answer:

About 11494.04

Step-by-step explanation:

There is no sphere shown above but I can still get you the answer:

The formula for the volume of a sphere is \frac{4}{3} *π*r³

Putting in the radius, we get:

\frac{4}{3}*π*14³=

\frac{4}{3}*π*2744=

\frac{10976}{3}*π=

3658.66*π≈11494.04

8 0
3 years ago
The value, V(m), of a comic book m months after publication has an average rate of change of -0.04 between m = 36 and m
vodka [1.7K]

Answer:

I believe the correct answer is C. The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.

Step-by-step explanation:

7 0
2 years ago
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What is the probability that no more than 5 of the next 100 skiers who attempt this run will injure themselves
san4es73 [151]
That ratio will be 5/100 because it's 5 out of 100 people

Therefore the probability is <= 5%
6 0
3 years ago
Simplify 6.3 subtracted by 3.93
Verdich [7]

Answer:

2.37

Step-by-step explanation:

6.3 minus 3.93 is 2.37

5 0
2 years ago
Read 2 more answers
Help please hurry need help
Misha Larkins [42]

Answer:

1: D

2: B

3: y=-4x+22

4: y=-8x+26

Step-by-step explanation:

1: Parallel lines have the same slope, and the only one with a slope of 3x is D

2: Perpendicular lines have an opposite slope, so a line with a slope of -1/2 would be 2, so you just flip the number and add or take away a negative sign, depending on the original slope

3: Like I said before, perpendicular lines have an opposite slope, so the slope would be -4. After you've figured that out, you just plug in the numbers given to you (and remember, x is first, y is last)

Plug in: 6=-4(4)+b

You would then solve for b.

6=-16+b

22=b

Then plug that into y=mx+b, with m being the slope (-4) and b being the y intercept (22)

4: The process for finding parallel and perpendicular lines is very similar, except you don't have to change the slope.

Plug in: 10=-8(2)-b

10=-16+b

26=b

Again, plug that into the equation y=mx+b

Hope I could be of help! Sorry if it doesn't make sense, this is my first time on this website.

5 0
3 years ago
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