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In this lesson, we will learn how to find the volume of a solid of revolution of a two-dimensional region about the y-axis using the washer method.

Q1:

Find the volume of the solid obtained by rotating the region bounded by the curves π₯ = 6 β 5 π¦ 2 and π₯ = π¦ 4 about the π¦ -axis.

Q2:

Find the volume of the solid obtained by rotating the region bounded by the curves π₯ = 6 β 3 π¦ 2 and π₯ = 3 π¦ 4 about the π¦ -axis.

Q3:

Find the volume of the solid obtained by rotating the region bounded by the curve π¦ = π₯ 2 and the line π₯ = 3 π¦ about the π¦ -axis.

Q4:

Find the volume of the solid obtained by rotating the region bounded by the curve 3 π¦ = π₯ 2 and the line π₯ = 3 π¦ about the π¦ -axis.

Q5:

Find the volume of the solid generated by rotating the region bounded by the curve π¦ = 3 β π₯ 2 and the straight line π₯ = 2 a complete revolution about the π¦ -axis.

Q6:

Find the volume of the solid generated by rotating the region bounded by the curve 3 π¦ = 5 β π₯ 2 and the straight line π₯ = 2 a complete revolution about the π¦ -axis.

Q7:

Find the volume of the solid obtained by rotating the region bounded by the curve 5 π₯ = π¦ 2 and the lines π₯ = 0 and π¦ = 2 about the π¦ -axis.

Q8:

Find the volume of the solid obtained by rotating the region bounded by the curve 5 π₯ = 2 π¦ 2 and the lines π₯ = 0 and π¦ = 5 about the π¦ -axis.

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