Calculating Sphere Surface Area and Volume

The video tutorial explains the concept of radius and its relation to diameter in spheres. It introduces formulas for calculating the surface area and volume of a sphere, providing hints to remember them. The tutorial demonstrates how to calculate the surface area using the formula 4πr² and the volume using 4/3πr³, with a practical example using a sphere with a diameter of 20 units. The video concludes by encouraging viewers to subscribe and explore more content.

What is the only dimension needed to calculate the properties of a sphere?

• Radius

• Circumference

• Surface Area

• Diameter

Why is the radius considered a critical dimension for spheres?

• It determines the sphere's color

• It's the only dimension needed

• It's unrelated to the sphere's properties

• It varies across the sphere

What formula represents the surface area of a sphere?

• 2 pi r squared

• 4 pi r squared

• 4/3 pi r cubed

• pi r squared

How do you remember which formula to use for calculating the volume of a sphere?

• R squared for 2D

• R cubed for 3D

• R cubed for 2D

• R squared for 3D

What does the 'pi r squared' part of the surface area formula signify?

• Area of a circle

• Surface area of the sphere

• Diameter of the sphere

• Volume of the sphere

If the diameter of a sphere is 20 units, what is its radius?

• 10 units

• 20 units

• 40 units

• 5 units

What is the surface area of a sphere with a radius of 10 units?

• 800 pi units squared

• 100 pi units squared

• 200 pi units squared

• 400 pi units squared

How can the diameter of a sphere be used in calculations?

• Squared for surface area

• Halved to find the radius

• Directly in volume formula

• Cubed for volume

What is the volume of a sphere with a radius of 10 units?

• 400 pi units cubed

• 1000 pi units cubed

• 4000/3 pi units cubed

• 3000/4 pi units cubed

What does the '4/3 pi r cubed' formula calculate?

• Volume of the sphere

• Circumference of the sphere

• Surface area of the sphere

• Diameter of the sphere