Finding Dimensions of a Cylinder from Volume

The video tutorial explains how to find the dimensions of a cylinder, specifically the height and radius, using given information such as volume and diameter. It begins with an introduction to the formula for the volume of a cylinder and demonstrates how to solve for the height when the volume and diameter are known. The tutorial then covers solving for the radius when the volume and height are provided, using mathematical operations like division and square roots. The video concludes with a brief mention of an assignment related to the topic.

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

• V = πr(h^2)

• V = πr^2h

• V = 2πrh

• V = πr^2 + h

If the diameter of a cylinder is 10, what is the radius?

• 2.5

• 10

• 5

• 20

What is the height of a cylinder if its volume is 314 and the radius is 5?

• 3.997

• 4

• 5

• 78.5

How do you isolate the height (h) in the volume formula of a cylinder?

• Multiply both sides by πr^2

• Add πr^2 to both sides

• Divide both sides by πr^2

• Subtract πr^2 from both sides

If the volume of a cylinder is 176 and the radius is 4, what is the height?

• 4

• 4.5

• 3

• 3.5

What operation is performed to isolate the height in the volume formula for a cylinder?

• Multiplication

• Addition

• Division

• Subtraction

What is the first step in finding the radius of a cylinder when the volume and height are known?

• Divide volume by height

• Divide volume by π

• Square the height

• Multiply volume by height

What is the radius of a cylinder if its volume is 226 and the height is 8?

• 2

• 3

• 4

• 9

How do you solve for the radius when you have R squared?

• Multiply by 2

• Divide by 2

• Take the square root

• Square the result

If a cylinder's volume is 28 and its height is 4, what is the radius?

• 1

• 3

• 1.5

• 2.2