Question

y=14√81+x2, x=1.1, x=2.6, and the line y=2 form a bounded region that is then rotated about the x-axis to form a solid of revolution. What is the volume of the solid? Do not round until the end. Round your answer to the nearest tenth and do not include any units. Provide your answer below:

          y=14√81+x2, x=1.1, x=2.6, and the line y=2 form a bounded region that is then rotated about the x-axis to form a solid of revolution. What is the volume of the solid? Do not round until the end. Round your answer to the nearest tenth and do not include any units.
Provide your answer below:

Added by Michael J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert K B

08/06/2019

Step 1

The given function is \( y = 14\sqrt{81} + x^2 \). We can simplify \( 14\sqrt{81} \) to \( 14 \times 9 = 126 \). Thus, the function becomes \( y = 126 + x^2 \). The line \( y = 2 \) will intersect this curve, and we need to find the points of intersection. Show more…

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y=14√81+x2, x=1.1, x=2.6, and the line y=2 form a bounded region that is then rotated about the x-axis to form a solid of revolution. What is the volume of the solid? Do not round until the end. Round your answer to the nearest tenth and do not include any units. Provide your answer below: