Use Differentials to Estimate the Amount of Metal in a Closed

question 22

Multiple Choice

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

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

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Definitions:

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