Question

How would I find r? I need this question to be longer to send so I'm adding extra characters

Answer 1

To find r, you can multiply both sides by πr²

`513* \pi r^2 = (79000)/(\pi r^2) * \pi r^2\\\\ 513\pi r^2 = 79000`

You would then get:
513πr² = 79,000

Then to isolate r, you can divide 513π on both sides.

(513πr²)/(513π) = 79,000/(513π)
r² = 79,000/(513π)

To finally get r, you can take the square root of both sides.


`√(r^2) = \sqrt{(79000)/(513 \pi)}\\\\r = \sqrt{(79000)/(513 \pi)} \approx \boxed{7.001}`