Density and Volume Concepts

This video tutorial is the second in a series focused on solving density-related questions, aimed at students around grade five GCSE level. It covers the calculation of density for a solid wooden cylinder and the density of fresh water when mixed with seawater. The video emphasizes the use of the formula density equals mass divided by volume and provides step-by-step guidance on solving these problems, including algebraic manipulation. Viewers are encouraged to pause the video to attempt questions and compare solutions.

What is the primary focus of this video series?

• Density questions

• Algebraic equations

• Geometry problems

• Trigonometry

What grade level are these videos aimed at?

• Grade 7

• Grade 5

• Grade 3

• Grade 9

What is the formula for density?

• Density = Volume x Mass

• Density = Mass x Volume

• Density = Mass / Volume

• Density = Volume / Mass

How do you calculate the volume of a cylinder?

• Volume = πr^2 x Height

• Volume = Length x Width x Height

• Volume = 2πr x Height

• Volume = Area of base x Height

What is the radius of the cylinder in the example?

• 6 cm

• 7 cm

• 8 cm

• 9 cm

What is the mass of the wooden cylinder?

• 392 grams

• 400 grams

• 350 grams

• 360 grams

What is the volume of the cylinder in terms of π?

• 210π

• 200π

• 180π

• 192π

What is the density of the wooden cylinder to two significant figures?

• 0.64 g/cm³

• 0.65 g/cm³

• 0.66 g/cm³

• 0.67 g/cm³

What is the density of seawater given in the problem?

• 1.00 g/cm³

• 1.05 g/cm³

• 1.02 g/cm³

• 1.10 g/cm³

How much seawater is used in the problem?

• 200 grams

• 255 grams

• 275 grams

• 225 grams