Use Differentials to Estimate the Amount of Metal in a Closed

Multiple Choice

Use differentials to estimate the amount of metal in a closed cylindrical can that is 12 cm high and 8 cm in diameter if the metal in the top and bottom is 0.09 cm thick and the metal in the sides is 0.01
Cm thick.(rounded to the nearest hundredth.)

A) $8.34 \mathrm {~cm} ^ { 3 }$
B) $6.99 \mathrm {~cm} ^ { 3 }$
C) $6.91 \mathrm {~cm} ^ { 3 }$
D) $6.7 \mathrm {~cm} ^ { 3 }$
E) $12.06 \mathrm {~cm} ^ { 3 }$