Volume Calculation Quiz

What is the initial method used to find the area under a curve?

• Drawing rectangles

• Drawing squares

• Using triangles

• Using circles

What shape is formed when a strip is revolved around an axis?

• Circle

• Triangle

• Square

• Rectangle

What is the formula for the volume of a solid formed by revolving around the X-axis?

• πr^2

• πr^4

• 2πr

• πr^3

In the example of revolving around the X-axis, what is the function used?

• 4 - x^2

• x^3 - 4

• 4 + x^2

• x^2 + 4

What is the range of x-values used in the example of revolving around the X-axis?

• 2 to 3

• 0 to 2

• 1 to 2

• 0 to 1

What is the integral result when calculating the volume around the Y-axis?

• 1372π/3

• 512π/7

• 153π/5

• 256π/15

What is the shape formed when a semicircle is revolved around the X-axis?

• Cylinder

• Sphere

• Cone

• Torus

What is the formula for the volume of a sphere?

• 1/3πr^2h

• 2πr^2

• 4/3πr^3

• πr^2h

What is the radius of the sphere formed in the semicircle example?

• 8

• 7

• 6

• 5

What is the calculated volume of the sphere in the example?

• 256π/15

• 512π/7

• 1372π/3

• 153π/5