Given the circumference how do you find the surface area of a hemisphere

The video tutorial explains the concept of a hemisphere, its relation to a sphere, and how to calculate its surface area. It covers the formula for circumference and how to derive the radius from it. The tutorial walks through the steps to calculate the surface area of a hemisphere, emphasizing the need to divide by two since it's half of a sphere. The video concludes with a final calculation and a brief discussion on units.

What is a hemisphere?

• A full sphere

• A flat circle

• Half of a sphere

• A quarter of a sphere

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

• 4πr^2

• 2πr

• πr^2

• 3πr^2

How do you adjust the surface area formula for a hemisphere?

• Multiply by 2

• Divide by 2

• Subtract π

• Add π

What is the relationship between diameter and radius?

• Diameter is half the radius

• Diameter is three times the radius

• Diameter is twice the radius

• Diameter is equal to the radius

If the circumference of a circle is 8π, what is the radius?

• 8

• 16

• 4

• 2

What is the surface area of a hemisphere with a radius of 4?

• 8π

• 16π

• 64π

• 32π

What units should be used for surface area?

• No units

• Square units

• Cubic units

• Linear units