Respuesta :

Answer:

The answer is option A

Step-by-step explanation:

[tex] \frac{4\pi \sqrt{5} - 2\pi \sqrt{5} }{3 \sqrt{5} } [/tex]

Simplify the numerator first

Since they have the same square root that's root 5 we can subtract them directly

That's

[tex]4\pi \sqrt{5} - 2\pi \sqrt{5} = (4\pi - 2\pi) \sqrt{5} \\ = 2\pi \sqrt{5} [/tex]

So we have

[tex] \frac{2\pi \sqrt{5} }{ 3\sqrt{5} } [/tex]

Reduce the expression with √5

We have the final answer as

[tex] \frac{2\pi}{3} [/tex]

Hope this helps you