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1 year ago

Please help with my fractions

Mathematics

2 answers:

lapo4ka [179]1 year ago

8 0

Answer:

first you find the common denominator, it is 6.

so the numbers would stay the same. now that our denominators are the same we shall add.

1+2 = 3

3/6.

You can simplify by thinking what multiplication table is 3 and 6 in? its 3 so simplify

3/6 divide both by 3

you get 1/2 so your final answer shall be 1/2

barxatty [35]1 year ago

5 0

Because the denominator is the same you just have to add the numerators which is three sixths but that can be simplified to one half

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$0.0239\frac{in^{3}}{min}$

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram of the cylinder. (See attached picture)

This diagram will help us visualize the problem better.

So we start by determining what data we already know:

Height=6in

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Radius = 1.9 in (because the radius is half the length of the diameter)

The problem also states that the radius will increase on thousandth of an inch every 3 minutes. We can find the velocity at which the radius is increasing with this data:

$r'=\frac{1/1000in}{3min}$

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with this information we can start solving the problem.

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$V=\pi r^{2}h$

where V is the volumen, r is the radius, h is the height and π is a mathematical constant equal approximately to 3.1416.

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$V=\pi r^{2}(6)$

$V=6 \pi r^{2}$

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$\frac{dV}{dt}=2(6)\pi r \frac{dr}{dt}$

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$\frac{dV}{dt}=12\pi r \frac{dr}{dt}$

We can now substitute the data provided by the problem to get:

$\frac{dV}{dt}=12\pi (1.9) (\frac{1}{3000})$

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