Calculating Volumes of Cylinders, Cones, and Spheres

What is the first step in finding the volume of geometric figures?

• Choose a color for the figure

• Calculate the area

• Guess the volume

• Identify the figure type

What formula is used to calculate the volume of a cone?

• Volume = 4/3 * pi * radius^3

• Volume = pi * radius^2 * height

• Volume = 1/3 * pi * radius^2 * height

• Volume = 1/2 * base * height

What value of pi is used in the calculations?

• 22/7

• 3

• 3.14

• 3.14159

In the calculation of the volume of a cone, what does the height represent?

• The diameter of the base

• The slant height

• The lateral height

• The perpendicular height from the base to the tip

How is the volume of a sphere calculated?

• Volume = pi * radius^2 * height

• Volume = 4/3 * pi * radius^3

• Volume = 1/2 * base * height

• Volume = 1/3 * pi * radius^2 * height

When calculating the volume of a sphere, what is crucial to remember about the radius?

• It is halved

• It is cubed

• It is squared

• It is doubled

What is the formula for the volume of a cylinder?

• Volume = 1/3 * pi * radius^2 * height

• Volume = pi * radius^2 * height

• Volume = 4/3 * pi * radius^3

• Volume = 1/2 * base * height

What is a composite figure?

• A figure made from a single shape

• A figure with a complex formula

• A figure made up of triangles

• A figure composed of multiple simple shapes

How do you find the volume of a composite figure?

• Multiply the volumes of all shapes involved

• Subtract the volumes of all shapes involved

• Divide the volumes of all shapes involved

• Add the volumes of all shapes involved

What is the volume of a hemisphere if the radius is 10?

• 1047.2

• 523.6

• 2093.33

• 4186.67