Question

Find the total area and volume for a cylinder with a radius of 1 unit and a height of 1 unit.

The number of square units of the total area exceeds the number of cubic units in the volume by _____ units.

π
2 π
3 π

Answer 1

Total area or surface area of a cylinder can be found by:

\(\large\text{SA}=2\pi rh+2\pi r^2\)


The volume of a cylinder is

\(\large \text{Volume} = \pi r^2h\)

Answer 2

You're given

radius = r = 1
height = h = 1

so put those numbers into your formula, what do you get?

\(\large\text{SA}=2\pi rh+2\pi r^2\)

\(\large\text{SA}=(2\times \pi \times 1 \times 1)+ (2 \times \pi \times 1^2)\)

What is 2 * pi * 1 * 1 = ?
just keep pi as pi, don't use 3.14

and similarly what is
2 * pi * 1^2 =

and then add those two numbers you get, and that's your total area or surface area

Answer 3

For volume, we use the same radius = 1 and height = 1

\(\large \text{Volume} = \pi r^2h\)

\(\large \text{Volume} = \pi \times (1)^2 \times 1\)

What is pi * 1^2 * 1
remember 1^2 is the same thing as 1 * 1

Answer 4

Now to answer your question, all you have to do is

Area - Volume = ?