Volume and Surface Area of Spheres

What shape is the water tank in the example problem?

• Cube

• Cylinder

• Sphere

• Cone

What is the formula for the volume of a sphere?

• 4/3 πr²

• 4/3 πr³

• 2πr

• πr²h

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

• 20 feet

• 15 feet

• 10 feet

• 5 feet

Why do we use the approximate symbol when calculating volume with π?

• Because π is an irrational number

• Because the radius is unknown

• Because the volume is always exact

• Because π is a rational number

What is a common mistake when calculating the volume of a sphere?

• Using the surface area formula instead of the volume formula

• Using the diameter instead of the radius

• Forgetting to multiply by π

• Using the wrong units

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

• πr²h

• 2πr

• 4/3πr³

• 4πr²

How can you tell if you've mistakenly calculated surface area instead of volume?

• The result is in square units

• The result is in cubic units

• The result is negative

• The result is zero

What should you remember when dealing with irrational numbers like π?

• Use the approximate symbol

• Ignore them in calculations

• Convert them to fractions

• Always use the exact value

What is the correct unit for volume?

• Square meters

• Cubic meters

• Meters

• Liters

What is the final step in solving a volume problem involving spheres?

• Ensure the correct formula was used

• Check if the answer is in square units

• Convert the answer to liters

• Round the answer to the nearest whole number