Volume of a Sphere Problems

The video tutorial explains how to calculate the volume of a sphere using the formula 4/3 * π * r³. It provides step-by-step examples with different radii, demonstrating how to use a calculator for these calculations. The tutorial also explains the difference between radius and diameter, and how to convert diameter to radius for volume calculations.

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

• 2/3 * pi * R^3

• 4/3 * pi * R^2

• pi * R^3

• 4/3 * pi * R^3

In the formula for the volume of a sphere, what does 'R' represent?

• Circumference

• Diameter

• Radius

• Area

What is the volume of a sphere with a radius of 6, in terms of pi?

• 648 pi

• 216 pi

• 288 pi

• 432 pi

What is the approximate volume of a sphere with a radius of 6, using 3.14 for pi?

• 904.32

• 2160.48

• 1130.4

• 1884.96

What is the volume of a sphere with a radius of 10, in terms of pi?

• 1333.3 pi

• 2000 pi

• 3333.3 pi

• 1000 pi

What is the approximate volume of a sphere with a radius of 10, using 3.14 for pi?

• 4186.6

• 3140.0

• 1333.3

• 6280.0

If the diameter of a sphere is 14, what is the radius?

• 21

• 14

• 28

• 7

What is the volume of a sphere with a radius of 7, in terms of pi?

• 343 pi

• 1000 pi

• 1436.02 pi

• 686 pi

What is the approximate volume of a sphere with a radius of 7, using 3.14 for pi?

• 1436.02

• 1000.0

• 343.0

• 686.0

What is the first step in calculating the volume of a sphere when given the diameter?

• Square the diameter

• Divide the diameter by 2 to get the radius

• Multiply the diameter by pi

• Cube the diameter