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

Mathematics

1 answer:

34kurt3 years ago

5 0

Answer:

Perimeter = 21 units

Volume = 110 cubic units

Step-by-step 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 = $\frac{49}{26}$

x = $\frac{-36}{13}$

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 = $\pi \times 2^{2} \times 2$ = 8 $\pi$

Volume of larger cylinder = 27 $\pi$

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

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