$\text { An ornamental light bulb is designed by revolving the graph of } y = \frac { 1 } { 3 } x ^ { \frac { 1 } { 2 } } - x ^ { \frac { 3 } { 2 } }$

question 45

Multiple Choice

$\text { An ornamental light bulb is designed by revolving the graph of } y = \frac { 1 } { 3 } x ^ { \frac { 1 } { 2 } } - x ^ { \frac { 3 } { 2 } }$ about the x-axis where x and y are measured in feet. Approximate the amount of glass needed to make the bulb. (Assume that the glass is 0.016 inches thick.) Round your answer to four decimal places.

• A) \(0.2681 \mathrm { in. } ^ { 3 }\)
• B) \(0.0019\) in. \(^ { 3 }\)
• C) \(3.217\) in. \(^ { 3 }\)
• D) \(0.0223\) in. \(^ { 3 }\)
• E) \(16.7552\) in. \(^ { 3 }\)

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