Understanding Volume of Cylinders

This video tutorial covers the calculation of the volume of cylinders and extends to solving for the radius and height when given certain measurements. It begins with an introduction to the formula for the volume of a cylinder and explains the geometric terms radius, height, and diameter. The tutorial then provides two examples: one for calculating the height when given the volume and diameter, and another for finding the radius when given the volume and height. The process involves substituting known values into the formula and using inverse operations to solve for the unknown variable.

What are the main topics covered in this video?

• Calculating the surface area of cubes

• Finding the perimeter of rectangles

• Solving for the volume, radius, and height of cylinders

• Solving for the volume of spheres

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula for the volume of a cylinder?

• 4/3 pi r cubed

• pi r squared times height

• 2 pi r times height

• pi r cubed

Tags

CCSS.7.G.B.4

How is the diameter of a circle related to its radius?

• Diameter is three times the radius

• Diameter is equal to the radius

• Diameter is twice the radius

• Diameter is half the radius

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

In the example problem, what is the first step to solve for height?

• Add the radius and height

• Multiply pi by the diameter

• Write down the volume formula

• Divide the volume by the radius

Tags

CCSS.7.G.B.4

What is the radius if the diameter is 8 cm?

• 16 cm

• 4 cm

• 8 cm

• 2 cm

Tags

CCSS.4.MD.A.2

What is the inverse operation used to solve for height in the example?

• Addition

• Subtraction

• Multiplication

• Division

Tags

CCSS.4.MD.A.1

In the second example, what is the given height of the cylinder?

• 4 inches

• 6 inches

• 8 inches

• 10 inches

Tags

CCSS.7.G.B.4

What operation is used to find the radius from r squared?

• Division

• Addition

• Square root

• Multiplication

Tags

CCSS.7.G.B.4

What is the final radius found in the second example?

• 3 inches

• 6 inches

• 4 inches

• 5 inches

Tags

CCSS.RI.6.3

CCSS.RI.6.5

CCSS.RI.7.3

CCSS.RI.7.5

CCSS.RI.8.3

What is the main focus of the conclusion section?

• Reviewing the formula for the volume of a sphere

• Summarizing how to isolate variables other than volume

• Explaining the concept of surface area

• Discussing the properties of triangles

Tags

CCSS.RI.6.3

CCSS.RI.6.5

CCSS.RI.7.3

CCSS.RI.8.3

CCSS.RI.8.5