Question

Find the difference in the volume and total area of a cylinder with both a radius and height of 1.

r = 1, h = 1

The number of sq units of the total area exceeds the number of cu. units in the volume by
3
2

Answer 1

3 pi?

Answer 2

@Oneofus

The Total Surface Area of a cylinder is represented by
\(TSA = 2\pi r(r + h)\)

The Volume of a Cylinder is represented by
\(V = \pi r^2 h\)

If \(r = 1, h = 1\) then:
\(TSA = 2 \pi (1)(1 + 1) = 4 \pi\)
\(V = \pi (1)^2 (1) = 3\pi\)

So the difference between the Total Surface Area of a Cylinder and the Volume of a Cylinder is represented by:
\(TSA - V\) in square units

Answer 3

Thank you!

Answer 4

Whoops, sorry \(V = \pi\) not \(3 \pi\)

Answer 5

I had "3" in my head when I wrote that.

Answer 6

o.o

Answer 7

So its just a pi?

Answer 8

But yes, 3 is correct as far as the answer to the question as you have correctly stated.

Answer 9

alright, thank you

Answer 10

I just made the clarification as to the value of the Volume

Answer 11

\(V = \pi\) square units