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) $12.06$ $\mathrm { cm } ^ { 3 }$

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The Answer of 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) $12.06$ $\mathrm { cm } ^ { 3 }$

Use Differentials to Estimate the Amount of Metal in a Closed