Exploring Adding and Subtracting Rational Expressions

The video tutorial covers the concepts of surface area and volume of spheres. It begins with an introduction to spheres and related vocabulary, such as center, radius, and diameter. The tutorial then explains how to calculate the surface area of a sphere using the formula 4πR², with examples and practice problems. It also covers finding the radius from a given surface area. The video concludes with a section on calculating the volume of a sphere using the formula 4/3πR³, including examples and practice problems.

What shape is a sphere?

• Flat surface

• Cylinder

• Round solid

• Cube

What formula is used to calculate the surface area of a sphere?

• 4πr^2

• πr^2

• 2πr^2

• 2πr

If a sphere's radius is 8 inches, what is its surface area?

• 804.25 square inches

• 100.53 square inches

• 50.27 square inches

• 201.06 square inches

How do you find the radius of a sphere when given the surface area?

• Divide surface area by 4π and then square root

• Multiply surface area by π

• Divide surface area by π and then square root

• Multiply surface area by 4

What is the radius of a sphere if its surface area is 30π square meters?

• 4 meters

• 3 meters

• 2.74 meters

• 5.5 meters

How do you find the diameter of a sphere from its surface area?

• Divide the surface area by π and then take the square root

• Multiply the radius by 2

• Divide the surface area by 4π and then take the square root, and multiply by 2

• Divide the surface area by 2π

What is the diameter of a sphere if its surface area is 20.25π square centimeters?

• 4.5 centimeters

• 2.25 centimeters

• 9 centimeters

• 5 centimeters

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

• 2/3πr^3

• πr^3

• πr^2

• 4/3πr^3

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

• 523.60 cubic yards

• 314.16 cubic yards

• 104.72 cubic yards

• 785.40 cubic yards

What is the volume of a soccer ball with a diameter of 9 inches?

• 763.40 cubic inches

• 190.85 cubic inches

• 254.47 cubic inches

• 381.70 cubic inches