398.574986215 to the nearest ten-thousandth.
1 answer:
Answer:
Step-by-step explanation:
It is important to remember that the fourth digit after the decimal point is in the ten-thousandth place.
Then, given the following number:
You can follow these steps in order ti round it to the nearest ten-thousandth:
1. You can identify that the digit in the ten-thousandth place is:
2. Identify the digit to the right of . This is:
3. Since:
You must round up. Increase the digit by 1. (Notice that
, then the digit to the left of
increases by 1 too). Then:
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Answer:
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
Diameter=3.8in
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:
which yields:
with this information we can start solving the problem.
First, the problem wants us to know how fast the volume is increasing, so in order to find that we need to start with the volume formula for a cylinder, which is:
where V is the volumen, r is the radius, h is the height and π is a mathematical constant equal approximately to 3.1416.
Now, the height of the cylinder will not change at any time during the reborning, so we can directly substitute the provided height, so we get:
or
We can now take the derivative to this formula so we get:
Which simplifies to:
We can now substitute the data provided by the problem to get:
which yields:
