A Cable Is $10.0 \mathrm{~m}$ Long and Has a Diameter Of $2.00 \mathrm{~mm}$

A cable is $10.0 \mathrm{~m}$ long and has a diameter of $2.00 \mathrm{~mm}$ . A force of $45.0 \mathrm{~N}$ is applied to the end of the cable and the cable stretches by $3.00 \mathrm{~mm}$ . What is the elastic modulus?

A) $3.67 \times 10^{10} \mathrm{~N} / \mathrm{m}^{2}$
B) $3.05 \times 10^{10} \mathrm{~N} / \mathrm{m}^{2}$
C) $4.77 \times10^{10}\mathrm{~N} / \mathrm{m}^{2}$
D) $3.98 \times10^{10}\mathrm{~N} / \mathrm{m}^{2}$
E) $4.26 \times 10^{10}\mathrm{~N} / \mathrm{m}^{2}$