This video tutorial covers part two of practice assessments, focusing on geometric shapes like cylinders, spheres, and cones. It explains how to calculate the volume of a cone using the volume of a cylinder, analyzes the relationship between radius and volume, and demonstrates how to calculate the volume of a sphere. The tutorial also includes a section on finding the height of a cylinder given its volume and radius, and discusses the creation of a volume table to explore linear relationships.

What geometric shapes are discussed in Part Two of the practice assessments?

• Hexagons and octagons

• Rectangles and triangles

• Cubes and pyramids

• Cylinders, spheres, and cones

What is the key relationship between the volume of a cylinder and a cone with the same height and radius?

• The cone's volume is equal to the cylinder's

• The cone's volume is double the cylinder's

• The cone's volume is one-third of the cylinder's

• The cone's volume is half of the cylinder's

If a cylinder has a volume of 78 cubic centimeters, what is the volume of a cone with the same dimensions?

• 52 cubic centimeters

• 39 cubic centimeters

• 26 cubic centimeters

• 78 cubic centimeters

What does the graph show about the relationship between the radius and volume of cones?

• It is a quadratic relationship

• It is a linear relationship

• It is not a linear relationship

• It is a constant relationship

If the radius of a cone doubles, what happens to its volume?

• The volume triples

• The volume quadruples

• The volume doubles

• The volume remains the same

What is the formula for calculating the volume of a sphere?

• 4/3 πr²

• 4/3 πr³

• πr²h

• 2/3 πr³

Calculate the volume of a sphere with a radius of 2.7 cm to the nearest cubic centimeter.

• 30 cm³

• 100 cm³

• 50 cm³

• 82 cm³

What is the formula for the volume of a cylinder?

• πr³

• 2πr²h

• πr²h

• 4/3 πr³

Given a cylinder with a radius of 1.6 meters and a volume of 95 cubic meters, what is its height?

• 13.4 meters

• 11.8 meters

• 8.5 meters

• 10.2 meters

In the volume table, what is the volume of a cylinder with a radius of 2 and height of 9?

• 18π

• 36π

• 54π

• 72π