The Top of a Rubber Bushing Designed to Absorb Vibrations $z = \frac { 1 } { 5 } y ^ { 2 } + 2 , ( 0 \leq y \leq 5 ) \text { in the } y z \text {-plane about }$

question 83

Multiple Choice

The top of a rubber bushing designed to absorb vibrations in an automobile is the surface of revolution generated by revolving the curve $z = \frac { 1 } { 5 } y ^ { 2 } + 2 , ( 0 \leq y \leq 5 ) \text { in the } y z \text {-plane about }$ the z-axis. All measurements are in centimeters and the bushing is set on the xy-plane. Use the shell
Method to find its volume. Round your answer to one decimal place.

• A) \(392.7 \mathrm {~cm} ^ { 3 }\)
• B) \(39.3 \mathrm {~cm} ^ { 3 }\)
• C) \(52.4 \mathrm {~cm} ^ { 3 }\)
• D) \(196.3 \mathrm {~cm} ^ { 3 }\)
• E) \(8.3 \mathrm {~cm} ^ { 3 }\)

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