Unit 9 Practice Test

• Disk

• Washer

• Shell

• Washer or Shell

What is the volume of this solid of revolution?

Find the volume of the solid of revolution obtained by rotating the region in bounded by y = x³ + 1, x = 1 and y = 1 about the y-axis.

• 11π/3
• 4π/13
• 3π/7
• 2π/5

If the region enclosed by  y = x² + 4 and         y = 2x + 4 is revolved about the x-axis, what is the volume of the solid generated?

• 224π/15
• 8π
• 416π/15
• 16π/5

• 
• 
• 
• 

• A
• B
• C
• D

• A
• B
• C
• D

Write the integral that can be used to find the region bounded by x = -3y² + 4 and x = y³.

• 
• 
• 
• 
• 

The base of a solid is the region in the first quadrant enclosed by the graph of 𝑦 = 2 − 𝑥² and the coordinate axes. If every cross section of the solid perpendicular to the 𝑦-axis is a square, the volume of the solid is given by...

The base of a solid is the region in the first quadrant enclosed by the parabola 𝑦 = 4𝑥² , the line 𝑥 = 1, and the 𝑥-axis. Each plane section of the solid perpendicular to the 𝑥-axis is a square. The volume of the solid is…

• 4/3

• 16/5

• 4

• 16