Answer:
Length of the Rectangle is to be considered as the circumference of the resulting cylinder and the width of the rectangle should be considered as the height of the cylinder only then we get the maximum volume of the cylinder which is 47.77
Step-by-step explanation:
The given dimensions are
Width of the rectangle is 6inches.
Length of the rectangle 10inches.
Now we need to choose in what orientation we need to use the length and the width of the rectangle so that it can be rolled into a rectangle and we get the maximum volume of the resulting cylinder.
so lets consider two cases
CASE-1: width of the rectangle is to be rolled as the circumference of the cylinder and length of the rectangle is to used as the height of the cylinder
2*pi*r = 6
r =
r = Inch
and the height = 10inch.
Volume of the resultant cylinder will be
=
=
=
= = 28.662
CASE-2: When the length of the rectangle is to used as the circumference of the resultant cylinder and the width of the cylinder is used as the height of the cylinder.
2*pi*r= 10
r =
and the height of the cylinder is 6 inch
Now the volume of the cylinder will be
Volume=
=
=
= = 47.77
Clearly we have the second case in which the resulting Cylinder will have the maximum volume.
Therefore the CASE-2 will provide the maximum Volume of 47.77 to the resulting cylinder in which the length of the rectangle is to be considered as the circumference of the Cylinder and the width of the rectangle is to be considered as the height of the cylinder.
Answer:
A. square root -4
Step-by-step explanation:
The answer is A because the square root of -4 is 2i which is an imaginary number.
-The square root of -4 is 2i (an imaginary number)
-The square root of 16 is 4
-The square root of 1 is 1
-The square root of 13 is ≈ 3.606
Answer:
Option C
Step-by-step explanation:
Given
Mean= μ=60
and
Standard Deviation= σ=5
In order to calculate the percentage of students between 55 and 65, we have to calculate z-score for both
z-score for 55=(55-60)/5
=(-5)/5
=-1
The area to the left of z-score -1 is 0.1587
z-score for 65=(65-60)/5
=5/5
=1
The area to the left of z-score 1 is 0.8413
Area between z-scores of 55 and 65=0.8413-0.1587
=0.6826
Converting into percentage
=0.6826*100
=68.26%
Option C is the correct answer ..
Answer:
Option D
Step-by-step explanation:
you divide both 120 and 60 by 30 and you get your answers