Problem 2
Part (a)
The 3D shape formed when rotating around the y axis forms a pencil tip
The shape formed when rotating around the x axis is a truncated cone turned on its side.
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Part (b)
Check out the two diagrams below.
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Problem 3
Answer: Choice A and Choice C
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Explanation:
Think of stacks of coins. Let's say we had 2 stacks of 10 quarters each. The quarters are identical, so they must produce identical volumes. Those sub-volumes then add up to the same volume for each stack. Now imagine one stack is perfectly aligned and the other stack is a bit crooked. Has the volume changed for the crooked stack? No, it hasn't. We're still dealing with the same amount of coins and they yield the same volume.
For more information, check out Cavalieri's Principle.
With all that in mind, this leads us to choice C. If the bases are the same, and so are the heights, then we must be dealing with the same volumes.
On the other hand, if one base is wider (while the heights are still equal) then the wider based block is going to have more volume. This leads us to choice A.
Answer:
it's not showing the question so how will I tell you
55/4 or 13 3/4
Hope thats right
Answer:
The area of LQM is 
Step-by-step explanation:
Given
Area of PNQ = 8
Area of LPQ = 16
See attachment for triangles
The area of PNQ is calculated as:

Substitute 8 for Area


The area of LPQ is calculated as:

Substitute 16 for Area

From the attachment:

Make LP the subject

So:

We have:
and 
Equate both expressions:

Divide both sides by PQ

Multiply both sides by 2


Since PNQ is similar to LNM, the following equivalent ratios exist:

Substitute 



Area of LQM is:

This gives:


Recall that:

So:

