You would do 5 times 4 which is 20. then count how many zero's there are and put them after the 20.
So Volume of cylinder is pi*r^2*h = 1,000
Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h
So now you have 2 equations, so:
h = 1,000/(pi*r^2)
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r
Derivative of SA is then 2pi*r -2,000/r^2. Set to 0
2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3)
Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h
<span>h = 10 / pi^(1/3)</span>
Answer:
x is 30/7
Step-by-step explanation:
You want to isolate x.
First, solve 5 * 6/7. The answer is 30/7.
Next, divide both sides by 6/7. This will cancel out the 6/7 on the left . For the right, when dividing fractions, you must take the reciprocal of the second fraction and multiply by it. So instead of having 30/7 divided by 6/7, you will have 30/7 * 7/6. The answer is 210/45 which simplifies to 5.
Third, you want to divide both sides by 7/6. Again the 7/6 on the left will be cancelled out. And you must do 5 * 6/7. In order to make the 5 look like a fraction to reduce confusion, you can set it over 1 (thus, you would do 5/1 * 6/7). The answer is 30/7.
You can plug it back into the equation to check.
Answer:
There's a lot of them.
There are many different ways to calculate
. The ones used by computers to generate tons of digits are usually infinite series.
The series that has been prominent in recent records for the most digits of pi is the Chudnovsky algorithm.
The algorithm is this:

For faster performance, it can be simplified to this:

Other algorithms have been used, but right now this is the one that is being used to set the recent records.
There are also some approximations that are used because they are very easy to calculate.
first,
can be used to calculate a fairly accurate pi, but a better rational approximation is
This fraction is actually accurate to 6 digits and it is the best approximation of
in simplest form and with a denominator below 30,000.
There are several other approximations and if you want to learn more I would recommend looking at the Wikipedia page which has tons of algorithms for pi.
Answer:
1.5 inches
Step-by-step explanation: