Understanding Spheres: Surface Area and Volume

What is a sphere?

• A three-dimensional rectangle

• A two-dimensional square

• A set of points equidistant from a center point

• A flat circle

How is the surface area of a sphere calculated?

• πr²

• 2πr

• 3πr²

• 4πr²

If the circumference of a basketball is 29.5 inches, what is the formula to find the radius?

• r = 29.5 / π

• r = 29.5 / 2π

• r = 29.5 * 2π

• r = 29.5 + 2π

What is the formula for the volume of a sphere?

• 4/3πr³

• 2πr²

• πr³

• 3/4πr³

How does the concept of pyramids relate to the volume of a sphere?

• Pyramids are used to prove the formula

• Pyramids are used to calculate surface area

• Pyramids have the same volume as spheres

• Pyramids are unrelated to spheres

What is the surface area of a sphere with a radius of 5 units?

• 75π square units

• 25π square units

• 50π square units

• 100π square units

If the surface area of a sphere is 36π, what is the radius?

• 5

• 4

• 3

• 2

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

• 500/3π cubic units

• 1000/3π cubic units

• 250/3π cubic units

• 750/3π cubic units

In the dodgeball example, what was the surface area of the dodgeball?

• 16π

• 128π

• 64π

• 32π

What is the radius of a sphere if its surface area is 64π?

• 2

• 4

• 6

• 8