The volume of the cylinder that has a radius of 7 ft and a height of 5 ft in the geometry will be 769.7 ft³.
<h3>How to illustrate the geometry?</h3>
It should be noted that the volume of a cylinder is given as:
= πr²h
where,
π = 3.142
r = radius = 7
h = height = 5
Therefore, the volume will be:
= πr²h
= 3.142 × 7² × 5
= 3.142 × 49 × 5
= 769.7 ft³
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When you have a point A and then transform it using a linear transformation (like rotation, reflections, etc.), we mark it as A' to say, "This is the point which corresponds to A after the transformations were applied". This establishes a link between the two, even though they may appear to be unrelated to someone looking at the graph.
We have the following expression given:

We can start selecting as common factor 4y^2 and we got:

Now we can select y+7 as common factor and we got:

So then our final answer would be: