Surface Area and Volume: Surface Area and Volume of Spheres

Warm-Up Icon Section Warm-Up

 

In this section, we will be working with objects that do not have flat sides, but instead have circular surfaces.  Let’s review what we already know about circles.

think icon Think & Click: Section Warm-Up

Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on the question to reveal the solution.

1. Imagine a ball, such as an orange or any spherical object.  If you cut it through the middle, what is the shape of the cross section?

A circle

2. All formulas involving circles include what number?

π

3. What is the circumference of a circle?

C = 2πr = πd

4. What is the area of a circle?

A = πr²

5. What is the value of π?

π is about 3.14, but you should always use the ‘π’ key on your calculator.

6. If the circumference of a circle is 62.8319 in, what is the radius of the circle?

C = 2πr
62.8319 = 2πr    *divide both sides by 2π.
10 = r

The radius is 10 in.