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Direction: A tent of a circus is made of canvas and is in the form of right circular cylinder and right circular cone above it. The height and diameter of the cylindrical part of the tent are 5 m and 126 m respectively. The total height of the tent is 21 m.
Q. How many square metres of canvas are used?
- a)14450
- b)14480
- c)14580
- d)14850
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Direction:A tent of a circus is made of canvas and is in the form of r...
We need to find out the total surface area of the tent;
Total surface area of tent = Curved surface area of cylinder + Curved surface area of cone
⇒ 1980 + πrl
⇒ 1980 + 22/7 × 63 × 65
⇒ 1980 + 12870
⇒ 14850 m2
∴ 14850 square metres of canvas was used.
⇒ 1980 + πrl
⇒ 1980 + 22/7 × 63 × 65
⇒ 1980 + 12870
⇒ 14850 m2
∴ 14850 square metres of canvas was used.
Most Upvoted Answer
Direction:A tent of a circus is made of canvas and is in the form of r...
Given:
Height of cylindrical part = 5 m
Diameter of cylindrical part = 126 m
Total height of the tent = 21 m
To find:
The total surface area of the canvas used for the tent.
Formula:
The surface area of a cylinder = 2πrh + πr^2
The surface area of a cone = πrl
Calculation:
1. Radius of the cylindrical part:
Diameter = 126 m
Radius = Diameter/2 = 126/2 = 63 m
2. Surface area of the cylindrical part:
Height of the cylindrical part = 5 m
Surface area of the cylindrical part = 2πrh + πr^2
= 2π(63)(5) + π(63)^2
3. Height of the conical part:
Total height of the tent = 21 m
Height of the conical part = Total height - Height of the cylindrical part
= 21 - 5
= 16 m
4. Surface area of the conical part:
Radius of the conical part = Radius of the cylindrical part = 63 m
Height of the conical part = 16 m
Surface area of the conical part = πrl
= π(63)(16)
5. Total surface area of the tent:
Total surface area = Surface area of the cylindrical part + Surface area of the conical part
Substituting the values in the formula:
Total surface area = [2π(63)(5) + π(63)^2] + [π(63)(16)]
Simplifying the expression:
Total surface area = 630π + 3969π + 1008π
Combining like terms:
Total surface area = 5607π
Approximating the value of π to 3.14:
Total surface area ≈ 5607(3.14)
≈ 17612.98
Rounding off to the nearest whole number:
Total surface area ≈ 17613 m^2
Therefore, the total surface area of the canvas used for the tent is approximately 17613 square meters.
Hence, the correct answer is option D) 14850.
Height of cylindrical part = 5 m
Diameter of cylindrical part = 126 m
Total height of the tent = 21 m
To find:
The total surface area of the canvas used for the tent.
Formula:
The surface area of a cylinder = 2πrh + πr^2
The surface area of a cone = πrl
Calculation:
1. Radius of the cylindrical part:
Diameter = 126 m
Radius = Diameter/2 = 126/2 = 63 m
2. Surface area of the cylindrical part:
Height of the cylindrical part = 5 m
Surface area of the cylindrical part = 2πrh + πr^2
= 2π(63)(5) + π(63)^2
3. Height of the conical part:
Total height of the tent = 21 m
Height of the conical part = Total height - Height of the cylindrical part
= 21 - 5
= 16 m
4. Surface area of the conical part:
Radius of the conical part = Radius of the cylindrical part = 63 m
Height of the conical part = 16 m
Surface area of the conical part = πrl
= π(63)(16)
5. Total surface area of the tent:
Total surface area = Surface area of the cylindrical part + Surface area of the conical part
Substituting the values in the formula:
Total surface area = [2π(63)(5) + π(63)^2] + [π(63)(16)]
Simplifying the expression:
Total surface area = 630π + 3969π + 1008π
Combining like terms:
Total surface area = 5607π
Approximating the value of π to 3.14:
Total surface area ≈ 5607(3.14)
≈ 17612.98
Rounding off to the nearest whole number:
Total surface area ≈ 17613 m^2
Therefore, the total surface area of the canvas used for the tent is approximately 17613 square meters.
Hence, the correct answer is option D) 14850.
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Direction:A tent of a circus is made of canvas and is in the form of right circular cylinder and right circular cone above it. The height and diameter of the cylindrical part of the tent are 5 m and 126 m respectively. The total height of the tent is 21 m.Q.How many square metres of canvas are used?a)14450b)14480c)14580d)14850Correct answer is option 'D'. Can you explain this answer?
Question Description
Direction:A tent of a circus is made of canvas and is in the form of right circular cylinder and right circular cone above it. The height and diameter of the cylindrical part of the tent are 5 m and 126 m respectively. The total height of the tent is 21 m.Q.How many square metres of canvas are used?a)14450b)14480c)14580d)14850Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Direction:A tent of a circus is made of canvas and is in the form of right circular cylinder and right circular cone above it. The height and diameter of the cylindrical part of the tent are 5 m and 126 m respectively. The total height of the tent is 21 m.Q.How many square metres of canvas are used?a)14450b)14480c)14580d)14850Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction:A tent of a circus is made of canvas and is in the form of right circular cylinder and right circular cone above it. The height and diameter of the cylindrical part of the tent are 5 m and 126 m respectively. The total height of the tent is 21 m.Q.How many square metres of canvas are used?a)14450b)14480c)14580d)14850Correct answer is option 'D'. Can you explain this answer?.
Direction:A tent of a circus is made of canvas and is in the form of right circular cylinder and right circular cone above it. The height and diameter of the cylindrical part of the tent are 5 m and 126 m respectively. The total height of the tent is 21 m.Q.How many square metres of canvas are used?a)14450b)14480c)14580d)14850Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Direction:A tent of a circus is made of canvas and is in the form of right circular cylinder and right circular cone above it. The height and diameter of the cylindrical part of the tent are 5 m and 126 m respectively. The total height of the tent is 21 m.Q.How many square metres of canvas are used?a)14450b)14480c)14580d)14850Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction:A tent of a circus is made of canvas and is in the form of right circular cylinder and right circular cone above it. The height and diameter of the cylindrical part of the tent are 5 m and 126 m respectively. The total height of the tent is 21 m.Q.How many square metres of canvas are used?a)14450b)14480c)14580d)14850Correct answer is option 'D'. Can you explain this answer?.
Solutions for Direction:A tent of a circus is made of canvas and is in the form of right circular cylinder and right circular cone above it. The height and diameter of the cylindrical part of the tent are 5 m and 126 m respectively. The total height of the tent is 21 m.Q.How many square metres of canvas are used?a)14450b)14480c)14580d)14850Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
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Direction:A tent of a circus is made of canvas and is in the form of right circular cylinder and right circular cone above it. The height and diameter of the cylindrical part of the tent are 5 m and 126 m respectively. The total height of the tent is 21 m.Q.How many square metres of canvas are used?a)14450b)14480c)14580d)14850Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Direction:A tent of a circus is made of canvas and is in the form of right circular cylinder and right circular cone above it. The height and diameter of the cylindrical part of the tent are 5 m and 126 m respectively. The total height of the tent is 21 m.Q.How many square metres of canvas are used?a)14450b)14480c)14580d)14850Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Direction:A tent of a circus is made of canvas and is in the form of right circular cylinder and right circular cone above it. The height and diameter of the cylindrical part of the tent are 5 m and 126 m respectively. The total height of the tent is 21 m.Q.How many square metres of canvas are used?a)14450b)14480c)14580d)14850Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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