Video solution:

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Written solution:

We have a huge margin of error for this problem so we can freely estimate values. Firstly, we note that the entire roll of tape is 1-inch thick, and given that a single tape is $0.015$ inches thick, then there are $\dfrac{1}{0.015}= \dfrac{2}{0.03} = \dfrac{200}{3}$ layers of tape in the entire roll.

Then, we must identify an estimate for the circumference of one layer of tape. Near the center, one layer of tape will have a circumference of $2\pi$ while the layers near the outer section will have a circumference of about $4\pi$. A good estimate would be to take the average circumference which is $3\pi$. With this, we can estimate the total length for the entire roll: $$\dfrac{200}{3}(3\pi) = 200\pi \approx 200(3) \approx 600.$$

Thus, B is the correct answer.