Question

Please may someone help me with these two questions I'm struggling with above.​

Answer 1

Perimeter = 21 units

Volume = 110 cubic units

Explanation:

Let the center of circle be (x,y).

`(x+2)^(2) +(y-7)^(2) = (x)^(2)+(y+2)^(2)`

4x - 18y = - 45

`(x)^(2)+(y+2)^(2)=(x-2)^(2)+(y-2)^(2)`

4x + 8y = 4

x + 2y = 1

Solving these 2 equations,

4 - 26y = -45

y =
`(49)/(26)`

x =
`(-36)/(13)`

radius = 3.35

Perimeter = 2
`\pi r` = 21 units

Volume of cylinder =
`\pi r^(2) h`

We have to add the volumes of the cylinders.

Volume of smaller cylinder =
`\pi * 2^(2) * 2` = 8
`\pi`

Volume of larger cylinder = 27
`\pi`

Total volume = 35
`\pi` = 110 cubic feet