Cylinder Volume and Dimensions

This video tutorial covers Unit 5, Lesson 14 on finding cylinder dimensions. It begins with an introduction to the lesson, followed by a detailed exploration of calculating cylinder volume when given a diameter. The tutorial then moves on to solving for the height of a cylinder when given the volume and radius. Finally, it involves filling in a table with various cylinder dimensions, using the formula for cylinder volume. The lesson emphasizes the importance of memorizing the formula V = πr²h and provides step-by-step calculations to reinforce understanding.

What is the formula for the volume of a cylinder?

• V = PI * D * H

• V = PI * R^2 * H

• V = 2 * PI * R * H

• V = PI * R * H

If a cylinder has a diameter of 8 cm, what is its radius?

• 2 cm

• 16 cm

• 8 cm

• 4 cm

Given a cylinder with a radius of 5 units and a volume of 50 PI cubic units, what is the height?

• 5 units

• 2 units

• 10 units

• 4 units

If the volume of a cylinder is 36 cubic units and the height is 4 units, what is the radius?

• 9 units

• 6 units

• 2 units

• 3 units

How do you calculate the diameter from the radius?

• Multiply the radius by 2

• Add 2 to the radius

• Divide the radius by 2

• Square the radius

What is the area of the base of a cylinder with a radius of 3 units?

• 12 PI square units

• 3 PI square units

• 6 PI square units

• 9 PI square units

If a cylinder has a volume of 16 PI and a height of 1, what is the radius?

• 4 units

• 1 unit

• 2 units

• 8 units

What is the diameter of a cylinder if the radius is 10 units?

• 20 units

• 15 units

• 5 units

• 10 units

If a cylinder has a radius of 0.4 units, what is its diameter?

• 0.8 units

• 1.2 units

• 0.2 units

• 0.4 units

What is the height of a cylinder if its volume is 314 cubic units and the base area is 314 square units?

• 1 unit

• 4 units

• 2 units

• 3 units