The total amount of material for the square is and for the rectangle is .
Further explanation:
The volume of the cylinder is .
The area of the square can be obtained by the formula where, is the side of the square.
The area of the rectangle is obtained by the formula is , where and are length and breadth of the rectangle respectively.
The volume of the cylinder is where, is the radius of the cylinder and is the height of the cylinder.
The area of circle is .
First we have to find the height of the cylinder by applying the formula of volume of cylinder,
The base of the cylinder is circle and it is obtained from the square.
Therefore, the diameter of the circle is equal to the side of square.
Here, is the side of square.
The area of the square is calculated as follows:
Therefore, the total amount of material require for square is .
When we fold the rectangle the length of the rectangle is equal to the perimeter of the base of the cylinder.
The breadth of the rectangle is equal to the height of the cylinder.
The value of is obtained as .
Therefore, the area of rectangular sheet of metal is calculated as follows:
Thus, the total amount of material require for rectangle is .
Learn more:
1. What is the general form of the equation of the given circle with center a? brainly.com/question/1506955
2. Which equation represents a circle with the same radius as the circle shown but with a center at (-1, 1)? brainly.com/question/1952668
Answer details:
Grade: High school
Subject: Mathematics
Chapter: Mensuration
Keywords: Rectangle, square, cylinder, amount of material, 729/r , 364.5/pir^2 ,area of circle, volume of cylinder, Material, cylinderical can, rectangular sheet.