Exploring Volume and Surface Area of Spheres

What is the formal definition of a sphere?

• A circle expanded into three dimensions without depth

• A three-dimensional object with varying distances from the center

• A flat two-dimensional shape

• A set of all points in space at the same distance from a center

How many circles with the same radius as the sphere are needed to cover its surface?

• Two

• Three

• Four

• Six

What is the formula for the surface area of a sphere?

• πr²

• 2πr²

• 4πr²

• 6πr²

If a sphere has a radius of 8 cm, what is its surface area?

• 804 cm²

• 201 cm²

• 402 cm²

• 1608 cm²

What is the volume formula for a sphere?

• 4/3πr³

• 2/3πr³

• 3/2πr³

• πr³

Calculate the volume of a sphere with a radius of 2 units.

• 8.4 units³

• 25.1 units³

• 12.6 units³

• 33.5 units³

For a hemisphere with a radius of 5 units, what is the volume?

• 65.45 units³

• 130.9 units³

• 523.6 units³

• 261.8 units³

What is the volume of air a beach ball can hold if its diameter is 12 inches?

• 225.25 inches³

• 1802 inches³

• 452.5 inches³

• 905 inches³

If the diameter of a sphere is given as 18 units, what is the radius?

• 4.5 units

• 36 units

• 18 units

• 9 units

What is the volume of a hemisphere with a diameter of 18 units?

• 763.25 units³

• 6106 units³

• 1526.5 units³

• 3053 units³