A print shop manager is using the scale drawing shown below to make a rectangular banner the scale from the banner to the drawin
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Answer:
The volume of the resulting cylinder is 385 cm³
Step-by-step explanation:
The formula of the rule of a cylinder is V = π r² h, where
- r is the radius of its base
- h is the height of it
<em>When a rectangular paper folded to form a cylinder, then one of its dimension will be the circumference of the base and the other dimension will be the height of the resulted cylinder</em>
∵ ABCD is a rectangle
∵ It is folded where AB coincides with DC
∴ AB is the height of the resulted cylinder
∴ BC is the circumference of the base of the resulted cylinder
∵ AB = 10 cm
∴ h = 10 cm
∵ BC = 22 cm
∴ The circumfrence of the base = 22 cm
∵ The circumference of a circle = 2 π r
→ Equate the rule by 22 to find r
∴ 2 π r = 22
∵ π =
∴ 2 × × r = 22
∴ r = 22
→ Divide both sides by
∴ r = 3.5 cm
→ Use the formula of the volume above to find the volume of the cylinder
∵ V = × (3.5)² × (10)
∴ V = 385 cm³
∴ The volume of the resulted cylinder is 385 cm³
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.
We can solve this problem in two steps, Comprehending, and Solving/Checking our answers. I'll be starting off with Comprehending.
Comprehending
We can solve the problem with substitution by finding out what one variable is equal to in terms of the second variable.
This is what we would call System of Equations where we need to find the point where the lines hit.
We can do this either with Graphing, or Algebra. In this case, we need to use substitution, so it has to be Algebraically.
Now that we know how to solve it/what to do, we can start solving.
Solving
We can solve the problem by first replacing y with its correct value in terms of x. Since we know the two equations, we can begin solving.
We can solve it by inserting our y value into the y value of the second equation.
Now that we know our x value, we can solve for y by inserting it into an equation.
Now that we have solved, we have gotten out point of (5,-1)
We can test this by inputting it into an equation. (Any of the latter).
Now that we have checked our answer and it appears correct, we have gotten our answer of (5,-1).