Cylinder Volume and Dimensions

This video tutorial covers Math 8 Unit 5 Lesson 14 on finding cylinder dimensions. It explains how to calculate the volume of a cylinder using the formula V = πr²h, where r is the radius and h is the height. The lesson includes examples of solving for missing dimensions when given certain values, such as finding the height when the volume and radius are known. The tutorial also explores different possible dimensions for a given volume and provides practice problems to reinforce the concepts.

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

• 6 cm

• 4 cm

• 2 cm

• 8 cm

What is the formula for the volume of a cylinder?

• V = πr²h

• V = 2πrh

• V = πd²h

• V = πr²

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

• 1 unit

• 4 units

• 3 units

• 2 units

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

• 5 units

• 3 units

• 2 units

• 4 units

How many different cylinders can have a volume of 36π cubic units?

• 1

• 3

• 2

• 4

What is the diameter of a cylinder if its radius is 3 units?

• 3 units

• 6 units

• 9 units

• 12 units

If the area of the base of a cylinder is 9π and the height is 5, what is the volume?

• 45π

• 50π

• 60π

• 55π

A cylinder has a volume of 45π and a radius of 3. What is the height?

• 6

• 3

• 4

• 5

What is the radius of a cylinder with a volume of 2826 cm³ and a height of 900 cm, using π ≈ 3.14?

• 4 cm

• 1 cm

• 2 cm

• 3 cm

If a cylindrical tank has a diameter of 14 ft and a length of 40 ft, what is the radius?

• 6 ft

• 7 ft

• 5 ft

• 8 ft