Answer
a. r= 00.84;
b. $0.836 \leq r \leq 0.843$;
c. $\delta = 0.003$
Work Step by Step
We have $V=\frac{4}{3}\pi r^{3}$ and $V=2.48$
a. $\frac{4}{3}\pi r^{3} = 2.48$
$r^{3}=\frac{2.48}{\frac{4}{3}\pi}$
$r \approx 0.84$
b. While $2.45 \leq V \leq 2.51$
$2.45 \leq \frac{4}{3}\pi r^{3} \leq 2.51$
$0.836 \leq r \leq 0.843$
c. When $\varepsilon=2.51 - 2.48= 0.03 \rightarrow \delta = 0.003$