Answer:
radius = 1.37 cm
height = 2.71 cm
Step-by-step explanation:
We are given volume = 16 m³.
Formula for volume of a cylinder is;
V = πr²h
Thus,
πr²h = 16
h = 16/πr²
Now formula for the surface area is;
S = 2πr² + 2πrh
Putting 16/πr² for h gives;
S = 2πr² + 2πr(16/πr²)
S = 2πr² + 2π(16/πr)
S = 2π(r² + 16/πr)
To minimize, we will find the derivative of S and equate to zero
S' = 2π(2r - 16/πr²) = 0
4πr - 32/r² = 0
4πr = 32/r²
r³ = 32/4π
r = ∛(32/4π)
r = 1.37 cm
From h = 16/πr²;
h = 16/(π × 1.37²)
h = 2.71 cm
The number are 1/4 π and
are irrational number.
It is required to choose the numbers are irrational.
<h3>
What is real number?</h3>
Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.
Given that:
The given option are
-2.3456 =-23456/10000
since, -2.3456 can be represented as rational numbers.
π is an infinite decimal, so it cannot be expressed as a rational number.
So, 1/4 π is irrational number.
is an irrational number.
2 + √16=2+4= 6 is a rational number.
Therefore, the number are 1/4 π and
are irrational number.
Learn more about real number here:
brainly.com/question/551408
#SPJ1
Answer:
Step-by-step explanation: