Question 1163037
<font color=black size=3>
Problem 1


The two surface areas are in ratio 
6pi : 54pi 


This reduces to the ratio 
1 : 9
after dividing both parts by 6pi. 


The ratio 1:9 means that the larger area is 9 times that of the smaller area. 
So the linear scale factor is sqrt(9) = 3. Meaning the larger object has a radius 3 times that of its smaller counterpart, and same with the height as well. 


We can represent this as the ratio 1:3


The ratio 1 : 3 cubes to 1 : 27 telling us that the larger object's volume is 27 times larger than the smaller object's volume. 


The smaller cylinder has volume 2pi. Multiply this with 27 to get the volume of the larger cylinder.


<font color=red size=4>Answer: B. 54pi</font> cubic feet


=====================================================


Problem 2


<font color=red size=4>You are correct</font>. 


An orthographic drawing is one where we see three views of the top, front and right sides of the 3D object. Each portion is flat or 2D. When combined, they will help us form a 3D object in our head, which the isometric drawing represents. An isometric drawing is done alongside the orthographic portion, so two complement one another. 


=====================================================


Problem 3


<font color=red size=4>You are correct here as well</font>. 


This is a single view angled down where we can see three sides at a time (top, front, right). It's basically an orthographic drawing but all three portions are combined into one.


=====================================================


Problem 4


<font color=red size=4>You are correct</font>. 


The idea is to add the endpoint coordinates and divide by 2
x coordinate of midpoint = (x1+x2)/2
y coordinate of midpoint = (y1+y2)/2
z coordinate of midpoint = (z1+z2)/2
Where we know the midpoint coordinates and only one of the endpoint coordinates. So we'll have to use a bit of algebra to get the answer.
</font>