Sphere Volume and Density Calculations

The video tutorial explains how to identify the type of metal a sphere is made of by calculating its density. The process involves determining the volume of the sphere using its radius, converting the mass from kilograms to grams, and then calculating the density by dividing the mass by the volume. The calculated density is compared to known densities of various metals to identify the metal as lead.

What is the initial task given to the student in the video?

• To identify the type of metal the sphere is made of

• To measure the radius of the sphere

• To determine the color of the metal

• To calculate the mass of the sphere

Why is density considered a unique property of metals?

• Because it acts like a fingerprint for identifying metals

• Because it changes with temperature

• Because it is the same for all metals

• Because it is measured in kilograms

Which formula is used to calculate the volume of a sphere?

• 4/3 * π * radius^3

• 4/3 * π * radius^2

• π * radius^2

• 2 * π * radius

What is the volume of the sphere calculated in the video?

• 530 cubic cm

• 523 cubic cm

• 500 cubic cm

• 524 cubic cm

Why is it necessary to convert the mass from kilograms to grams?

• Because grams are easier to work with

• Because kilograms are too large for this calculation

• Because the sphere is very small

• Because density is measured in grams per cubic cm

What is the mass of the sphere in grams after conversion?

• 5,915 grams

• 5,000 grams

• 6,000 grams

• 5,800 grams

What is the calculated density of the sphere?

• 12.0 g/cm³

• 10.5 g/cm³

• 11.3 g/cm³

• 11.0 g/cm³

Which metal is identified based on the calculated density?

• Aluminum

• Zinc

• Lead

• Iron

What would be the implication if the sphere was made of platinum?

• It would be very common

• It would be very fragile

• It would be very expensive

• It would be very light

What is the final step in identifying the metal of the sphere?

• Measuring the radius again

• Comparing the calculated density with known densities

• Checking the color of the metal

• Recalculating the mass