Answer:
Perimeter = 21 units
Volume = 110 cubic units
Step-by-step explanation:
Let the center of circle be (x,y).
[tex](x+2)^{2} +(y-7)^{2} = (x)^{2}+(y+2)^{2}[/tex]
4x - 18y = - 45
[tex](x)^{2}+(y+2)^{2}=(x-2)^{2}+(y-2)^{2}[/tex]
4x + 8y = 4
x + 2y = 1
Solving these 2 equations,
4 - 26y = -45
y = [tex]\frac{49}{26}[/tex]
x = [tex]\frac{-36}{13}[/tex]
radius = 3.35
Perimeter = 2[tex]\pi r[/tex] = 21 units
Volume of cylinder = [tex]\pi r^{2} h[/tex]
We have to add the volumes of the cylinders.
Volume of smaller cylinder = [tex]\pi \times 2^{2} \times 2[/tex] = 8[tex]\pi[/tex]
Volume of larger cylinder = 27 [tex]\pi[/tex]
Total volume = 35[tex]\pi[/tex] = 110 cubic feet
