Calculating Surface Area and Volume of Spheres

The video tutorial explains how to calculate the surface area and volume of a sphere. It begins with an introduction to the concepts of surface area and volume, using a basketball as an example. The tutorial then provides step-by-step instructions for calculating the surface area and volume of a sphere with a given radius. It also covers how to find the radius from the circumference and discusses the importance of using exact values with pi versus decimal approximations. The tutorial emphasizes understanding the formulas and using a calculator for precise results.

What does the surface area of a sphere represent?

• The diameter of the sphere

• The length around the sphere

• The area covered by the sphere's outer layer

• The volume inside the sphere

If the diameter of a sphere is 30 cm, what is its radius?

• 7.5 cm

• 60 cm

• 30 cm

• 15 cm

How do you calculate the surface area of a sphere?

• 2 * pi * radius^2

• 2/3 * pi * radius^3

• pi * radius^3

• 4 * pi * radius^2

What unit is used to measure the surface area of a sphere?

• Cubic centimeters

• Centimeters

• Square centimeters

• Meters

What is the surface area of a sphere with a radius of 15 cm in terms of pi?

• 1800 pi cm^2

• 450 pi cm^2

• 900 pi cm^2

• 225 pi cm^2

What is the formula for the volume of a sphere?

• pi * radius^2

• 2 * pi * radius^3

• 3/4 * pi * radius^3

• 4/3 * pi * radius^3

What is the volume of a sphere with a radius of 15 cm in terms of pi?

• 2250 pi cm^3

• 4500 pi cm^3

• 9000 pi cm^3

• 675 pi cm^3

How do you find the radius of a sphere if you know its circumference?

• Multiply the circumference by pi

• Divide the circumference by 2*pi

• Divide the circumference by pi

• Multiply the circumference by 2*pi

What is the approximate surface area of a sphere with a radius given as 13 over 2 pi?

• 26.89 cm^2

• 107.58 cm^2

• 214.16 cm^2

• 53.79 cm^2

What is the approximate volume of a sphere with a radius expressed as 13 over 2 pi?

• 148.4 cm^3

• 37.1 cm^3

• 18.55 cm^3

• 74.2 cm^3