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Ket [755]
3 years ago
15

A storage tank holds 235,500 in^3 of a chemical. The chemical is dispensed to completely fill 25 identical cylindrical container

s, each with a radius of 5 in. What is the height of the cylindrical containers? Use 3.14 to approximate pi.
Mathematics
2 answers:
ololo11 [35]3 years ago
8 0
Volume of a cylinder is given by V = πr^2h

Since the content of the storage tank completely filled the 25 identical cylinders, this means that the volume of the 25 cylinders combined is equal to the volume of the storage tank.

25(πr^2h) = 235,500
πr^2h = 235,500/25 = 9,420
h = 9,420/(3.14 x 5^2) = 9,420/78.5 = 120.

Therefore, the height of the cylinderical containers is 120 in
allochka39001 [22]3 years ago
6 0
The volume of a cylinder is given by:
πr²h
The volume of these 25 containers should be equivalent to the volume of chemical. Thus:
235,500 = 25 x 3.14 x 5² x h
h = 120 inches
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Step-by-step explanation:

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Evaluate the piecewise function for the given values.

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As the piecewise function shows, the function f(x) has the value of -2 for values of x lesser or equal than 0, has the value of 4x if the value of x is between 0 and 1, and has the value of x+4 for values of x greater or equal than 1.

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For f(-2.6), the value of x is lesser than 0, so we have that f(-3) = -2

For f(0.6), the value of x is between 0 and 1, so we have that f(0.6) = 4*0.6 = 2.4

For f(4.5), the value of x is greater than 1, so we have that f(4.5) = 4.5 + 4 = 8.5

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2 years ago
The value of a house decreases at a steady rate of 20% each year. What is the total percentage loss (to the nearest integer) in
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Two objects were lifted by a machine. One object had a mass of 2 kilograms and was lifted at a speed of 2m/sec. the other had a
OLga [1]
Sadly, after giving all the necessary data, you forgot to ask the question.
Here are some general considerations that jump out when we play with
that data:

<em>For the first object:</em>
The object's weight is (mass) x (gravity) = 2 x 9.8 = 19.6 newtons
The force needed to lift it at a steady speed is 19.6 newtons.
The potential energy it gains every time it rises 1 meter is 19.6 joules.
If it's rising at 2 meters per second, then it's gaining 39.2 joules of
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The machine that's lifting it is providing 39.2 watts of lifting power.
The object's kinetic energy is 1/2 (mass) (speed)² = 1/2(2)(4) = 4 joules.

<em>For the second object:</em>
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The potential energy it gains every time it rises 1 meter is 39.2 joules.
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If you go back and find out what the question is, there's a good chance that
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