Calculating Volumes of Cylinders, Cones, and Spheres

What is the formula for the volume of a cylinder?

• V = 4/3πr^3

• V = πr^2h

• V = 2πrh

• V = 1/3πr^2h

What is the relationship between the radius of the cylinder and the sphere in the composite shape?

• Radius of the cylinder is half of the sphere's radius

• Radius of the cylinder is twice the sphere's radius

• Radius of the cylinder is equal to the sphere's radius

• There is no relationship

What is the correct way to calculate the volume of a cylinder?

• Multiply the base area by the height

• Multiply the circumference by the height

• Divide the base area by the height

• Add the base area to the height

How do you calculate the volume of half a sphere?

• V = 1/2(4/3πr^3)

• V = 2/3πr^3

• V = πr^3

• V = πr^2

What is the formula to calculate the volume of a sphere?

• V = 4/3πr^3

• V = 2πrh

• V = πr^2h

• V = 1/3πr^2h

In the composite shape of a cylinder and half a sphere, how do you use the radius in calculations?

• Use different radii for the cylinder and sphere

• Use the same radius for both the cylinder and half sphere

• Use the diameter instead of the radius

• The radius is not necessary for calculations

How do you find the volume of a composite shape consisting of a cylinder and a cone?

• Divide the cylinder's volume by the cone's

• Multiply the volumes of both shapes

• Subtract the cone's volume from the cylinder's

• Add the volumes of the cylinder and cone

What adjustment is made when calculating the volume of a cone with a given diameter?

• Square the diameter

• Use the diameter as is

• Multiply the diameter by 2

• Divide the diameter by 2 to find the radius

When calculating the volume of a cone, why can the multiplication by 1/3 and 3 be ignored?

• Because they do not affect the final volume

• Because they cancel each other out

• Because it simplifies the calculation

• Because it's a mathematical error to include them

How is the volume of a composite shape involving a rectangular prism and a cylindrical hole calculated?

• Add the volumes of the prism and the cylinder

• Subtract the cylinder's volume from the prism's volume

• Multiply the volumes of both shapes

• Divide the prism's volume by the cylinder's