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Lesson: Finding the Volume of a Solid by Rotating around the Horizontal Line Using the Washer Method

Worksheet: Finding the Volume of a Solid by Rotating around the Horizontal Line Using the Washer Method • 14 Questions

Q1:

Determine the volume of the solid generated by rotating the region bounded by the curve and the line a complete revolution about the -axis.

  • A cubic units
  • B cubic units
  • C cubic units
  • D cubic units

Q2:

Determine the volume of the solid generated by rotating the region bounded by the curve and the line a complete revolution about the -axis.

  • A cubic units
  • B cubic units
  • C cubic units
  • D cubic units

Q3:

Consider the region bounded by the curves and , for . Find the volume of the solid obtained by rotating this region about the -axis.

  • A
  • B
  • C
  • D
  • E

Q4:

Consider the region bounded by the curves and , for . Find the volume of the solid obtained by rotating this region about the -axis.

  • A
  • B
  • C
  • D
  • E

Q5:

Consider the region bounded by the curves and , for . Find the volume of the solid obtained by rotating this region about the -axis.

  • A
  • B
  • C
  • D
  • E

Q6:

Find the volume of the solid obtained by rotating the region bounded by the curve and the line about the -axis.

  • A
  • B
  • C
  • D
  • E

Q7:

Find the volume of the solid obtained by rotating the region bounded by the curve and the line about the -axis.

  • A
  • B
  • C
  • D
  • E

Q8:

Find the volume of the solid generated by turning the region bounded by the curve , the -axis, and the two lines and through a complete revolution about the -axis.

  • A cubic units
  • B cubic units
  • C cubic units
  • D9 cubic units

Q9:

Find the volume of the solid generated by rotating the region bounded by the curve and the -axis a complete revolution about the -axis.

  • A cubic units
  • B cubic units
  • C cubic units
  • D cubic units

Q10:

Find the volume of the solid generated by turning the region bounded by the curves , , and a complete revolution about the -axis.

  • A cubic units
  • B72 cubic units
  • C cubic units
  • D18 cubic units

Q11:

Find the volume of the solid generated by turning the region bounded by the curves , , , and the -axis through a complete revolution about the -axis.

  • A cubic units
  • B cubic units
  • C cubic units
  • D cubic units

Q12:

Calculate the volume of a solid generated by rotating the region bounded by the curve and straight lines , , and a complete revolution about the -axis.

  • A cubic units
  • B cubic units
  • C cubic units
  • D cubic units

Q13:

Consider the region between the curves and , for . Find the volume of the solid of revolution obtained by rotating this region about the -axis, giving your answer to two decimal places.

Q14:

Consider the region between the curves and , for . Find the volume of the solid of revolution obtained by rotating this region about the -axis, giving your answer to two decimal places.

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