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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:
Answer:
There are 16 cups of spice mix will made by the recipe.
Step-by-step explanation:
Given,
Number of cups of salt = 8
Number of cups of grounded black pepper = 6
Number of cups of garlic powder = 2
We have to find out number of cups of spice mix made by recipe.
Solution,
The total number of cups of spice mix is the sum of amount of salt, amount of grounded black pepper and amount of garlic powder.
So the equation can be framed as;
Total number of cups of spice mix =
Hence There are 16 cups of spice mix will made by the recipe.