
Volume of Solids Quiz
Authored by Greg Bierbaum
Mathematics
9th Grade

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8 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
For each problem, find the volume of the solid that results when the region enclosed by the curves is revolved about the x-axis. 1) ( y = √(x + 4), y = x^2 + 4 )
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2.
OPEN ENDED QUESTION
3 mins • 1 pt
For each problem, find the volume of the solid that results when the region enclosed by the curves is revolved about the x-axis. 2) ( y = -x^2 + 3, y = 2 )
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3.
OPEN ENDED QUESTION
3 mins • 1 pt
For each problem, find the volume of the solid that results when the region enclosed by the curves is revolved about the x-axis. 3) ( y = x^2 + 1, y = 1, x = 2 )
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4.
OPEN ENDED QUESTION
3 mins • 1 pt
For each problem, find the volume of the solid that results when the region enclosed by the curves is revolved about the x-axis. 4) ( y = -x^2 + 6, y = 2, x = 0, x = 2 )
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5.
OPEN ENDED QUESTION
3 mins • 1 pt
For each problem, find the volume of the solid that results when the region enclosed by the curves is revolved about the y-axis. Given the equations x = -y^2 + 2, x = 1, y = -1, y = 0, find the volume of the solid.
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6.
OPEN ENDED QUESTION
3 mins • 1 pt
For each problem, find the volume of the solid that results when the region enclosed by the curves is revolved about the y-axis. Given the equations x = √y + 1, x = y^2 + 1, find the volume of the solid.
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7.
OPEN ENDED QUESTION
3 mins • 1 pt
For each problem, find the volume of the solid that results when the region enclosed by the curves is revolved about the y-axis. Given the equations x = -y^2 + 4, x = y + 2, y = 0, y = 1, find the volume of the solid.
Evaluate responses using AI:
OFF
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