Finding the Volume of a Sphere

What is compared to a sphere to help find its volume?

• A rectangular prism

• A cube

• A cylinder with the same dimensions

• A cone

What fraction of the cylinder's volume does the sphere occupy?

• Two-thirds

• One-third

• One-half

• Three-fourths

What is the relationship between the height of a sphere and its diameter?

• No specific relationship

• Height is half the diameter

• Height is twice the diameter

• Height equals the diameter

How is the volume of a sphere related to the volume of a cylinder with the same height and diameter?

• Equal to the cylinder's volume

• Half of the cylinder's volume

• Two-thirds of the cylinder's volume

• One-third of the cylinder's volume

What is the simplified formula for the volume of a sphere?

• π * r^3

• π * r^2 * h

• 4/3 * π * r^3

• 2/3 * π * r^2 * h

What does the radius of a sphere equal to when the diameter is given as 6 cm?

• 9 cm

• 3 cm

• 6 cm

• 12 cm

What mathematical operation is used to find the radius from the diameter?

• Addition of 2

• Subtraction by 2

• Division by 2

• Multiplication by 2

What is the final step in simplifying the volume formula for a sphere?

• Multiplying by the radius cubed

• Dividing by the radius

• Adding the radius

• Multiplying by the radius squared

How do you calculate the volume of a sphere with a radius of 3 cm?

• 4/3 * π * 27

• 2/3 * π * 9

• 4/3 * π * 9

• π * 27

What is the volume of a sphere with a radius of 3 cm?

• 36π cm³

• 113.04 cm³

• 84.78 cm³

• 27π cm³