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The sides of a rectangle with dimension 7 cm x 11 cm are joined to form a cylinder with height 11 cm. What is the volume of this cylinder?
- a)85.75 cm3
- b)86.92 cm3
- c)54.25 cm3
- d)42.875 cm3
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The sides of a rectangle with dimension 7 cm x 11 cm are joined to for...
To find the volume of the cylinder, we need to first find the area of the base of the cylinder, which is formed by joining the sides of the rectangle.
Step 1: Find the perimeter of the rectangle
The perimeter of a rectangle is given by the formula:
Perimeter = 2(length + width)
Given:
Length = 7 cm
Width = 11 cm
Substituting the values into the formula:
Perimeter = 2(7 + 11)
Perimeter = 2(18)
Perimeter = 36 cm
Step 2: Find the area of the base of the cylinder
The area of the base of a cylinder is given by the formula:
Area = π(radius^2)
Since the base of the cylinder is formed by joining the sides of the rectangle, the length of the base will be equal to the perimeter of the rectangle.
Given:
Perimeter = 36 cm
To find the radius, we divide the perimeter by 2π:
Radius = Perimeter / (2π)
Radius = 36 / (2π)
Radius = 5.73 cm (rounded to two decimal places)
Substituting the radius into the formula:
Area = π(5.73^2)
Area ≈ 103.14 cm^2 (rounded to two decimal places)
Step 3: Find the volume of the cylinder
The volume of a cylinder is given by the formula:
Volume = Area of base × Height
Given:
Height = 11 cm
Substituting the values into the formula:
Volume = 103.14 × 11
Volume ≈ 1134.54 cm^3 (rounded to two decimal places)
Therefore, the volume of the cylinder is approximately 1134.54 cm^3.
Since none of the given options match the calculated volume, it seems there might be an error in the question or the options provided.
Step 1: Find the perimeter of the rectangle
The perimeter of a rectangle is given by the formula:
Perimeter = 2(length + width)
Given:
Length = 7 cm
Width = 11 cm
Substituting the values into the formula:
Perimeter = 2(7 + 11)
Perimeter = 2(18)
Perimeter = 36 cm
Step 2: Find the area of the base of the cylinder
The area of the base of a cylinder is given by the formula:
Area = π(radius^2)
Since the base of the cylinder is formed by joining the sides of the rectangle, the length of the base will be equal to the perimeter of the rectangle.
Given:
Perimeter = 36 cm
To find the radius, we divide the perimeter by 2π:
Radius = Perimeter / (2π)
Radius = 36 / (2π)
Radius = 5.73 cm (rounded to two decimal places)
Substituting the radius into the formula:
Area = π(5.73^2)
Area ≈ 103.14 cm^2 (rounded to two decimal places)
Step 3: Find the volume of the cylinder
The volume of a cylinder is given by the formula:
Volume = Area of base × Height
Given:
Height = 11 cm
Substituting the values into the formula:
Volume = 103.14 × 11
Volume ≈ 1134.54 cm^3 (rounded to two decimal places)
Therefore, the volume of the cylinder is approximately 1134.54 cm^3.
Since none of the given options match the calculated volume, it seems there might be an error in the question or the options provided.
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The sides of a rectangle with dimension 7 cm x 11 cm are joined to form a cylinder with height 11 cm. What is the volume of this cylinder?a)85.75 cm3b)86.92 cm3c)54.25 cm3d)42.875 cm3Correct answer is option 'A'. Can you explain this answer?
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The sides of a rectangle with dimension 7 cm x 11 cm are joined to form a cylinder with height 11 cm. What is the volume of this cylinder?a)85.75 cm3b)86.92 cm3c)54.25 cm3d)42.875 cm3Correct answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The sides of a rectangle with dimension 7 cm x 11 cm are joined to form a cylinder with height 11 cm. What is the volume of this cylinder?a)85.75 cm3b)86.92 cm3c)54.25 cm3d)42.875 cm3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sides of a rectangle with dimension 7 cm x 11 cm are joined to form a cylinder with height 11 cm. What is the volume of this cylinder?a)85.75 cm3b)86.92 cm3c)54.25 cm3d)42.875 cm3Correct answer is option 'A'. Can you explain this answer?.
The sides of a rectangle with dimension 7 cm x 11 cm are joined to form a cylinder with height 11 cm. What is the volume of this cylinder?a)85.75 cm3b)86.92 cm3c)54.25 cm3d)42.875 cm3Correct answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The sides of a rectangle with dimension 7 cm x 11 cm are joined to form a cylinder with height 11 cm. What is the volume of this cylinder?a)85.75 cm3b)86.92 cm3c)54.25 cm3d)42.875 cm3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sides of a rectangle with dimension 7 cm x 11 cm are joined to form a cylinder with height 11 cm. What is the volume of this cylinder?a)85.75 cm3b)86.92 cm3c)54.25 cm3d)42.875 cm3Correct answer is option 'A'. Can you explain this answer?.
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