Understanding Spheres and Functions

What is the formula for the volume of a sphere?

• V = πr^2h

• V = 4πr^2

• V = 4/3 πr^3

• V = 2πr

If the radius of a sphere is doubled, how does its volume change?

• The volume quadruples

• The volume remains the same

• The volume doubles

• The volume triples

What happens to the volume of a sphere if you triple its radius?

• The volume triples

• The volume increases by a factor of 9

• The volume increases by a factor of 27

• The volume remains the same

Which function represents q(x) when g(x) is divided by f(x)?

• q(x) = x^2 + 1

• q(x) = x + 1

• q(x) = 3x^3 + 2x^2

• q(x) = 3x^2 + 2x

How many cones are needed to fill a sphere?

• One cone

• Four cones

• Two cones

• Three cones

What is the relationship between the radius of a circle and the height of a cone?

• The radius is twice the height

• The radius is half the height

• The radius is equal to the height

• The radius is one-third the height

What do you know about the volume of a cylinder?

• It is three times the volume of a cone

• It is equal to the volume of a sphere

• It is half the volume of a sphere

• It is one-third the volume of a cone

What is the formula for the function f(x) given in the text?

• f(x) = x + 1

• f(x) = 3x^3 + 2x^2

• f(x) = x^2 + 2x

• f(x) = 2x + 1