Volume and Surface Area Concepts

This video tutorial covers the volume formulas for three-dimensional shapes: cylinders, cones, and spheres. It explains the necessary dimensions for each shape, such as radius and height, and provides examples of how to calculate the volume using these formulas. The tutorial also highlights the importance of using the correct units and rounding the results appropriately.

Which of the following shapes is NOT discussed in the video?

• Cube

• Sphere

• Cone

• Cylinder

What two measurements are needed to calculate the volume of a cylinder?

• Radius and height

• Diameter and width

• Diameter and height

• Radius and width

If the diameter of a cylinder is given, what should you do to find the radius?

• Multiply by 2

• Divide by 2

• Subtract 2

• Add 2

What is the formula for the volume of a cylinder?

• pi times diameter squared times height

• 4/3 times pi times radius cubed

• 1/3 times pi times radius squared times height

• pi times radius squared times height

What is the formula for the volume of a cone?

• 4/3 times pi times radius cubed

• 1/3 times pi times radius squared times height

• pi times radius squared times height

• pi times diameter squared times height

In the cone example, what was the radius used in the calculation?

• 8

• 12.5

• 6

• 20

What unit is used to express volume?

• Cubic units

• Square units

• None of the above

• Linear units

What is the only measurement needed to calculate the volume of a sphere?

• Diameter

• Height

• Width

• Radius

What is the formula for the volume of a sphere?

• pi times radius squared times height

• pi times diameter squared times height

• 4/3 times pi times radius cubed

• 1/3 times pi times radius squared times height

In the sphere example, what was the radius used in the calculation?

• 2.1

• 8

• 12.5

• 20