Calculating Cylinder Volume and Surface Area

This video tutorial explores the geometry of cylinders, including their volume and surface area. It begins with an introduction to cylinders, using everyday examples like paint cans and lip balm containers. The tutorial explains how to visualize a cylinder and introduces formulas for calculating volume and surface area. Two examples are provided: calculating the volume of a cylindrical tin for coffee beans and the surface area of a pool noodle. The video concludes with a call to action to engage with the content on social media.

What common objects resemble the shape of a cylinder?

• Soccer balls

• Paint cans

• Bricks

• Books

Tags

CCSS.RI. 9-10.2

CCSS.RI.6.2

CCSS.RI.7.2

CCSS.RI.8.2

CCSS.RL.7.2

What is essential to create a cylinder from a circle?

• Extending the circle vertically without changing its size

• Folding the circle in half

• Expanding the circle into a square

• Doubling the size of the circle

Tags

CCSS.7.G.A.3

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

• Diameter and circumference

• Circumference and height

• Radius and diameter

• Height and radius

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What does the volume of a cylinder represent?

• The length of its sides

• The weight it can support

• The amount of paint needed to cover it

• The space inside it

How is the volume of a cylinder calculated?

• Pi times radius plus height

• Pi times radius squared times height

• Two times pi times radius times height

• Pi times diameter squared times height

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What does the surface area of a cylinder represent?

• The space it occupies

• The amount of material to cover its outside

• The amount of material to cover its base

• The space inside it

How is the surface area of a cylinder calculated?

• Pi times diameter times height

• Two times pi times radius plus height

• Pi times radius squared times height

• Two times pi times radius times (height plus radius)

What is the volume of a cylindrical tin with a height of 8 inches and a radius of 4 inches?

• Approximately 200 cubic inches

• Approximately 100 cubic inches

• Approximately 402 cubic inches

• Approximately 804 cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the surface area of a pool noodle that is 62 inches long with a diameter of 4 inches?

• Approximately 604 square inches

• Approximately 402 square inches

• Approximately 502 square inches

• Approximately 804 square inches

What is the radius needed to calculate the surface area of a cylinder if its diameter is 4 inches?

• 1 inch

• 8 inches

• 2 inches

• 4 inches