Classify each of the following as rational or irrational: -5 √11 2/3 0.5 √16 pi

Rational:-5, 2/3, 0.5, sqrt 16

Irrational: sqrt 11, pi

Step-by-step explanation:

A rational number is a number which can be represented as a ratio or fraction and whose decimal is terminating or repeating. This includes all whole numbers positive and negative too.

Ex. -5, 2/3, 0.5, sqrt 16

An irrational number is a number that CANNOT be represented as a ratio or fraction and whose decimal is NOT terminating or repeating. These often include square roots and numbers like pi.

Ex. sqrt 11, pi

 h = (S - 2πr²) / 2πr

Step-by-step explanation:

Since we are given that

S = 2πrh + 2πr²

Subtracting by 2πr² on both sides we get

S - 2πr² = 2πrh

Dividing by 2πr on both sides we get

(S - 2πr²) / 2πr = h

So

The final equation is

h = (S - 2πr²) / 2πr