Calculus Volume Disk

If the region bounded by the function and the x axis is rotated about the line y = 3, would one use the washer or disk method? 

• washer
• disk

If the same region of the same graph is now rotated about the line y= -4, would one use a washer or disk?

• washer
• disk

If the region from (-1,0) is rotated about the x axis, would one use a washer or disk?

• washer
• disk

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

• 32π/5
• 16π/3
• 16π/5
• 8π/3

If the region enclosed by y = 1/x, y = 0 between x = 1 and x = 5 is revolved about the x-axis, what is the volume of the solid generated?

• 4π/5
• 2π/5
• 3π/5
• πln(5)

Find the volume of when the region bounded by y = x³, x = 4 and the x-axis is revolved about the y-axis.

• 2048π/5
• 3072π/5
• 1024π/5
• 64π

What is the volume of the solid formed in the second quadrant bounded by the curves         y = 9 – x², the x-axis and the y-axis when it is rotated about the line x = 1?

• 153π/2
• 81π/2
• 648π/5
• 45π/2