The service area of the cylinder is 42
square fts.
<h3>What is cylinder?</h3>
Two parallel bases joined by a curving surface make up the three-dimensional solid known as a cylinder.
Typically, the bases are shaped like circles. The height "h" of the cylinder stands for the perpendicular distance between the bases, while "r" stands for the cylinder's radius.
The uses of cylinder are-
- A popular piece of scientific equipment used to determine the volume of a liquid is a graduated cylinder, sometimes referred to as a measuring cylinder or mixing cylinder.
- Its form is slender and cylindrical. The measured amount of liquid is shown by each marked line on the graduated cylinder.
Total surface area of the cylinder formula:
It is the sum of the base surface area and the lateral surface area;
Total area = base area + lateral area , or
Total area = 2 π r² + (2 π r) h , or
Total area = 2 π r (r + h)
Calculation for the total area of the cylinder;
Base diameter is 6 ft
Radius is 6/2 = 3 ft
Height is 4 ft
Total area = 23(3 + 4)
= 6×7
= 42
Therefore, the total surface area of the cylinder is 42 square fts.
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Answer:
7x = 35cm ; 2x = 10cm
Step-by-step explanation:
7x and 2x are the lengths
7x+2x=45
Then you take 7 + 2 = 9
so is gonna be 9x = 45
then you divide both side with 9
so is gonna be x = 5
Then you take 5 multiply 7 : 2
so 7 x 5 = 35cm
2 x 5 = 10cm
Answer:
Step-by-step explanation:
Given:
The increase in pressure P is the linear function of the depth d.
The cost of dinner is $300 and $10 per students.
To find:
The initial value and rate of change and their interpretation.
Find the cost function C where n is the number of students.
Solution:
The slope intercept form of a linear function is
...(i)
where, m is rate of change and b is y-intercept or initial value.
We have,
...(ii)
From (i) and (ii), we get
The initial value is 14.7. It means, the pressure at sea level is 14.7 pounds psi.
Rate of change is 0.445. It means, the pressure is increasing by 0.445 pounds psi for every feet.
The cost of dinner is $300 and $10 per students.
Let C(n) be the total cost for dinner and n be the number of students.
Fixed cost = $300
Additional cost for 1 student = $10
Additional cost for n student = $10n
Now,
Total cost = Fixed cost + Additional cost
Therefore, the required cost function is .
Answer:
h(x) = 1/2x + 5
Step-by-step explanation:
Switch the positions of the x and y (f(x)) and solve for y (f(x)).
f(x) = 2x - 10
x = 2y - 10
x + 10 = 2y
(x + 10)/2 = y
1/2x + 5 = y
