Calculating the Volume of Spheres

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

• Volume = 2/3 * pi * R^3

• Volume = 4/3 * pi * R^3

• Volume = pi * R^2

• Volume = 1/3 * pi * R^3

What does 'R' represent in the volume formula of a sphere?

• Radius

• Circumference

• Area

• Diameter

For a sphere with a radius of 3 cm, what is the volume?

• 27 pi cm^3

• 113.04 cm^3

• 36 pi cm^3

• 100 cm^3

Why do we use parentheses when entering the formula into a calculator?

• To prioritize multiplication

• To separate variables from numbers

• To make the calculation look neat

• To ensure correct calculation of fractions

What is the significance of the exponent in the volume formula?

• It is used to calculate the diameter

• It represents the surface area

• It indicates cubic units for volume

• It determines the radius

In the context of sphere volume calculation, what does pi approximately equal?

• All of the above

• 3.14159

• 22/7

• 3.14

How is the diameter of a sphere related to its radius?

• Diameter is half of the radius

• Diameter is double the radius

• Diameter and radius are the same

• Diameter is unrelated to radius

What changes in the formula for calculating the volume of different spheres?

• The value of pi

• The value of 4/3

• The formula itself

• The value of the radius

What is the volume of a sphere with a diameter of 48 cm?

• 57,876.48 cm^3

• 28,938.24 cm^3

• 14,469.12 cm^3

• 114,752.96 cm^3

Why is the volume of a sphere measured in cubic units?

• Because it represents a three-dimensional space

• Because of the sphere's circular base

• Because it is derived from the sphere's radius

• Because it uses pi in the calculation