The Mystery of the Sphere's Volume

What is the approximate volume of the sphere?

Choose the correct option:

A. 166.67 mm³

B. 392.50 mm³

C. 523.33 mm³

D. 1570 mm³

Final answer:

The volume of any sphere can be calculated by the formula V = (4/3) x πR³, where R represents the radius of the sphere. Always remember to cube the radius and keep consistent units.

To approximately calculate the volume of a sphere, you should note that it's primarily influenced by the radius of the sphere. The mathematical formula for volume is as follows: V = (4/3) x πR³, where R represents the radius of the sphere. Using a ratio determined by the given values in your question, you should be able to calculate the volume for the desired sphere.

For instance, if we were to consider the sphere stretching from the Sun to Proxima Centauri, we would calculate: V = (4/3)π(4.2 × 9.5 × 10¹⁷ cm) ³ = 2.7 × 10⁵⁶ cm³. This volume is calculated in cubic centimeters to keep consistent units.

Always remember the formula and to keep the units consistent. The radius must always be cubed, as the volume depends on R³, and to round your answer to the nearest hundredth if necessary for an accurate estimation.