The answer is 1,695.6 in³.
The volume of the empty space is the difference of the bigger cylinder and the smaller cylinder: V = V1 - V2
The volume of the bigger cylinder is:
V1 = π r² h
r = 10 in
h = 15 in
π = 3.14
V1 = 3.14 * 10² * 15 = 4,710 in³
The volume of the smaller cylinder is:
V2 = π r² h
r = 8 in
h = 15 in
π = 3.14
V2 = 3.14 * 8² * 15 = 3,014.4 in³
The volume of the empty space is:
V = V1 - V2 = 4,710 in³ - 3,014.4 in³ = 1,695.6 in³
Let
n-------> the number of nickels
q------> the number of quarters
we know that

so
----> equation A
----> equation B
substitute equation B in equation A
![0.05n+0.25[3n]=1.60](https://tex.z-dn.net/?f=0.05n%2B0.25%5B3n%5D%3D1.60)



Find the value of q

therefore
<u>The answer part a) is</u>
the number of nickels are
and the number of quarters are 
<u>the answer Part b) is</u>
The expressions that represents the number of quarters is
Answer:
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AM=3x+3
AB=8x-6
AB=2AM
AM=AB/2
AM=(8x-6)/2
AM=4x-3
3x+3=4x-3
4x-3x=3+3
x=6
AM=3x+3
AM=3(6)+3
AM=18+3
AM=21
You should have an angle of elevation of 30 degrees.