Nickel Sphere Calculations and Concepts

In this video, Mr. Millings explains how to calculate the radius of a nickel sphere using the density formula. The process involves converting the mass from kilograms to grams, using the density of nickel to find the volume, and then applying the volume of a sphere formula to solve for the radius. The video provides a step-by-step guide to these calculations, ensuring the correct use of units and significant figures.

What is the primary goal of the problem discussed in the video?

• To determine the mass of a nickel sphere.

• To find the radius of a nickel sphere.

• To calculate the density of a nickel sphere.

• To measure the diameter of a nickel sphere.

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

• Because the density table uses grams.

• Because grams are easier to work with.

• Because kilograms are too large.

• Because the volume formula requires grams.

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

• 0.543 grams

• 54.3 grams

• 543 grams

• 5.43 grams

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

• Volume = 3/4 π r³

• Volume = 4/3 π r³

• Volume = Density / Mass

• Volume = Mass / Density

What is the density of nickel used in the calculations?

• 10.5 g/cm³

• 7.85 g/cm³

• 8.98 g/cm³

• 9.81 g/cm³

What is the volume of the nickel sphere in cubic centimeters?

• 62.0 cm³

• 60.0 cm³

• 63.0 cm³

• 61.0 cm³

Which formula is used to solve for the radius of the sphere?

• r = (V / 4π)^(1/3)

• r = (3V / π)^(1/3)

• r = (4π / 3V)^(1/3)

• r = (3V / 4π)^(1/3)

What is the final radius of the nickel sphere in centimeters?

• 2.64 cm

• 2.44 cm

• 2.54 cm

• 2.34 cm

Why is it important to use parentheses when entering the exponent in the calculator?

• To separate the numbers.

• To avoid syntax errors.

• To make the calculation look neat.

• To ensure the correct order of operations.

What is the significance of using three significant figures in the final answer?

• To make the answer more accurate.

• To match the precision of the given data.

• To follow standard scientific notation.

• To simplify the calculation.