Cylinders, Cones and Spheres: Calculating the volume of a sphere

The video tutorial covers the volume of a sphere, explaining the formula 4/3 π R^3 and its derivation using calculus, though calculus is not performed in the video. Two examples are provided: one using a radius of 5 meters and another using a diameter of 6 inches, demonstrating how to calculate the volume in each case. The tutorial concludes with a summary of related geometric shapes involving circles, such as cylinders and cones, emphasizing the importance of understanding these formulas through practice.

What is the formula for the volume of a sphere?

• 4/3 π R^3

• 2 π R^3

• 4/3 π R^2

• π R^3

If the radius of a sphere is 5 meters, what is the volume?

• 100 cubic meters

• 523.3 cubic meters

• 314 cubic meters

• 125 cubic meters

How do you find the radius if the diameter of a sphere is given?

• Multiply the diameter by 2

• Divide the diameter by 2

• Cube the diameter

• Square the diameter

What is the volume of a sphere with a diameter of 6 inches?

• 113.04 cubic inches

• 27 cubic inches

• 54 cubic inches

• 81 cubic inches

Which of the following shapes involves circles in their volume formulas?

• Pyramids

• Cubes

• Rectangular Prisms

• Spheres