Geometry | Surface Area of a Sphere & Hemisphere

The video tutorial explains how to calculate the surface area of a sphere and a hemisphere. It begins with an introduction to the concept of surface area, using the formula 4πr² for spheres. An example is provided with a sphere of diameter 10 mm, demonstrating the calculation process. The tutorial then transitions to hemispheres, explaining the additional complexity due to the circular base. A step-by-step example is given for a hemisphere with a diameter of 14 cm. The video concludes with a brief discussion on the calculus connection between volume and surface area formulas.

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

If the diameter of a sphere is 10 millimeters, what is its radius?

Explain why the units for surface area are squared.

What happens to the surface area calculation when you cut a sphere in half?

How do you calculate the surface area of a hemisphere?

What is the surface area of a hemisphere with a radius of 7 centimeters?

Describe the relationship between the volume formula and the surface area formula for a sphere.