Area and Volume Calculus

No calculators!

• 14/3

• 16/3

• 28/3

• 32/3

Calculator is required!

• 0.127

• 0.385

• 0.400

• 0.600

No calculators!

• 1/2

• 2/3

• 1

• 2

No calculators!

No calculators!

Find the volume of the solid formed by revolving the region bounded by y = x and y = x² and the y-axis about the line y = 1. No calculators!

NO CALCULATOR: Find the volume of the solid generated by revolving the area bounded by y = x² and the x-axis from [0, 2] around the x-axis.

NO CALCULATOR: Find the volume of the solid generated by revolving the area bounded by y = x² and the x-axis from [0, 2] around the y-axis. 

• 8π
• 6π
• 2π
• 0

Determine the volume of the region bounded by y = x² - 2x and y = x that is rotated about y = 4.

• 5.4
• 30.6
• 96.133
• 108.332

What integral would allow you to find the volume of the region bounded by y = 2x² and y = 8 around the line y = 11.