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1 answer:
Answer:
Step-by-step explanation:
The area of the base is the area of a circle with a radius equal to 4 cm. It means that the area can be calculated as:
The height of the cylinder is shown in the picture, it is equal to 16 cm.
Finally, the volume of the cylinder can be calculated as:
Where B is the base and h is the height of the cylinder.
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Given:
The two functions are:
To find:
The type of transformation from f(x) to g(x) in the problem above and including its distance moved.
Solution:
The transformation is defined as
.... (i)
Where, a is horizontal shift and b is vertical shift.
- If a>0, then the graph shifts a units left.
- If a<0, then the graph shifts a units right.
- If b>0, then the graph shifts b units up.
- If b<0, then the graph shifts b units down.
We have,
The function g(x) can be written as
...(ii)
On comparing (i) and (ii), we get
Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).
The formula for this is 
. If the diameter is 8 the radius is 4, so filling in accordingly we have 
and 
which is 
and when you multiply in 3.14 you get that A = 401.92 or B above.