Surface Area of a Sphere Quiz

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

• 4πr²

• 2πr

• πr²

• 4/3πr³

If the radius of a sphere is 12 cm, what is the first step in calculating its surface area?

• Multiply the radius by 4

• Double the radius

• Square the radius

• Multiply the radius by π

What is the result of squaring the radius of 12 cm?

• 24

• 144

• 288

• 12

What is the next step after squaring the radius in the surface area calculation?

• Multiply by 2

• Multiply by 4

• Add 10

• Multiply by π

What is the approximate surface area of a sphere with a radius of 12 cm using 3.14 for π?

• 1600 cm²

• 1500 cm²

• 2000 cm²

• 1808.64 cm²

Why is the surface area result considered an approximation when using 3.14 for π?

• Because 3.14 is less than π

• Because 3.14 is a rounded value

• Because 3.14 is an exact value

• Because 3.14 is more than π

When given the diameter of a sphere, what must you do before using the surface area formula?

• Square the diameter

• Multiply the diameter by 4

• Convert the diameter to radius

• Use the diameter directly

What is the surface area of a sphere with a radius of 8 cm using 3.14 for π?

• 803.84 cm²

• 1000 cm²

• 900 cm²

• 850 cm²

What is the significance of the number 4 in the formula 4πr²?

• It is the number of hemispheres in a sphere

• It is the number of times the area of a circle is multiplied

• It represents the number of circles in a sphere

• It is a constant for all geometric shapes

How do you calculate the area of a circle?

• πr²

• 2πr

• 4πr²

• πd