CAT Exam > CAT Questions > A tent is in the shape of a cylinder surmount...
Start Learning for Free
A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 5 m and 8 m, respectively, and the slant height of the top is 1.4 m, find the cost of the canvas of the tent at the rate of Rs. 200 per m2. It is to be noted that the tent has no base.
- a)Rs. 23,100
- b)Rs. 25,600
- c)Rs. 28,660
- d)Rs. 29,800
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A tent is in the shape of a cylinder surmounted by a conical top. If t...
Radius of cylinder = 4 m, height = 5 m and slant height of conical top = 1.4 m
Curved Surface Area of cylinder
= 2πrh
= 2π x 4 x 5 m2
= 40π m2
Curved Surface Area of cone
= πrl
= π x 4 x 1.4 m2
= 5.6π m2
Total CSA
= 40π + 5.6π
= 45.6 x (22/7) = 143.3m2
Cost of canvas = Rate × Surface Area = Rs. 200 × 143.3 = Rs. 28,660
Thus, answer option C is correct.
Curved Surface Area of cylinder
= 2πrh
= 2π x 4 x 5 m2
= 40π m2
Curved Surface Area of cone
= πrl
= π x 4 x 1.4 m2
= 5.6π m2
Total CSA
= 40π + 5.6π
= 45.6 x (22/7) = 143.3m2
Cost of canvas = Rate × Surface Area = Rs. 200 × 143.3 = Rs. 28,660
Thus, answer option C is correct.
Free Test
FREE
| Start Free Test |
Community Answer
A tent is in the shape of a cylinder surmounted by a conical top. If t...
To find the cost of the canvas of the tent, we need to calculate the total surface area of the cylindrical part and the conical top separately, and then multiply it by the cost per square meter.
Given data:
Height of the cylindrical part (h1) = 5 m
Diameter of the cylindrical part (d) = 8 m
Slant height of the conical top (l) = 1.4 m
Rate of canvas = Rs. 200 per m2
Let's break down the solution into two parts:
1. Calculate the surface area of the cylindrical part:
The formula to calculate the surface area of a cylinder is given by:
Surface area of cylinder = 2πrh + πr²
where r is the radius of the base and h is the height.
Given diameter (d) = 8 m, we can find the radius (r) as:
Radius (r) = d/2 = 8/2 = 4 m
Substituting the values, we get:
Surface area of cylindrical part = 2π(4)(5) + π(4)²
= 40π + 16π
= 56π
2. Calculate the surface area of the conical top:
The formula to calculate the surface area of a cone is given by:
Surface area of cone = πrl
where r is the radius of the base and l is the slant height.
Given slant height (l) = 1.4 m and radius (r) = 4 m (same as the cylindrical part), we can calculate the surface area of the conical top as:
Surface area of conical top = π(4)(1.4)
= 5.6π
Now, let's calculate the total surface area of the tent by adding the surface areas of the cylindrical part and the conical top:
Total surface area of the tent = Surface area of cylindrical part + Surface area of conical top
= 56π + 5.6π
= 61.6π
Finally, multiply the total surface area of the tent by the cost per square meter to find the cost of the canvas:
Cost of canvas = Total surface area of the tent * Rate of canvas
= 61.6π * 200
≈ 386.24π
To find the cost in rupees, we can use the value of π as 3.14:
Cost of canvas ≈ 386.24 * 3.14
≈ 1213.0816
Rounding off to the nearest rupee, the cost of the canvas is approximately Rs. 1213.
Therefore, option C (Rs. 28,660) is the correct answer.
Given data:
Height of the cylindrical part (h1) = 5 m
Diameter of the cylindrical part (d) = 8 m
Slant height of the conical top (l) = 1.4 m
Rate of canvas = Rs. 200 per m2
Let's break down the solution into two parts:
1. Calculate the surface area of the cylindrical part:
The formula to calculate the surface area of a cylinder is given by:
Surface area of cylinder = 2πrh + πr²
where r is the radius of the base and h is the height.
Given diameter (d) = 8 m, we can find the radius (r) as:
Radius (r) = d/2 = 8/2 = 4 m
Substituting the values, we get:
Surface area of cylindrical part = 2π(4)(5) + π(4)²
= 40π + 16π
= 56π
2. Calculate the surface area of the conical top:
The formula to calculate the surface area of a cone is given by:
Surface area of cone = πrl
where r is the radius of the base and l is the slant height.
Given slant height (l) = 1.4 m and radius (r) = 4 m (same as the cylindrical part), we can calculate the surface area of the conical top as:
Surface area of conical top = π(4)(1.4)
= 5.6π
Now, let's calculate the total surface area of the tent by adding the surface areas of the cylindrical part and the conical top:
Total surface area of the tent = Surface area of cylindrical part + Surface area of conical top
= 56π + 5.6π
= 61.6π
Finally, multiply the total surface area of the tent by the cost per square meter to find the cost of the canvas:
Cost of canvas = Total surface area of the tent * Rate of canvas
= 61.6π * 200
≈ 386.24π
To find the cost in rupees, we can use the value of π as 3.14:
Cost of canvas ≈ 386.24 * 3.14
≈ 1213.0816
Rounding off to the nearest rupee, the cost of the canvas is approximately Rs. 1213.
Therefore, option C (Rs. 28,660) is the correct answer.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 5 m and 8 m, respectively, and the slant height of the top is 1.4 m, find the cost of the canvas of the tent at the rate of Rs. 200 per m2. It is to be noted that the tent has no base.a)Rs. 23,100b)Rs. 25,600c)Rs. 28,660d)Rs. 29,800Correct answer is option 'C'. Can you explain this answer?
Question Description
A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 5 m and 8 m, respectively, and the slant height of the top is 1.4 m, find the cost of the canvas of the tent at the rate of Rs. 200 per m2. It is to be noted that the tent has no base.a)Rs. 23,100b)Rs. 25,600c)Rs. 28,660d)Rs. 29,800Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 5 m and 8 m, respectively, and the slant height of the top is 1.4 m, find the cost of the canvas of the tent at the rate of Rs. 200 per m2. It is to be noted that the tent has no base.a)Rs. 23,100b)Rs. 25,600c)Rs. 28,660d)Rs. 29,800Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 5 m and 8 m, respectively, and the slant height of the top is 1.4 m, find the cost of the canvas of the tent at the rate of Rs. 200 per m2. It is to be noted that the tent has no base.a)Rs. 23,100b)Rs. 25,600c)Rs. 28,660d)Rs. 29,800Correct answer is option 'C'. Can you explain this answer?.
A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 5 m and 8 m, respectively, and the slant height of the top is 1.4 m, find the cost of the canvas of the tent at the rate of Rs. 200 per m2. It is to be noted that the tent has no base.a)Rs. 23,100b)Rs. 25,600c)Rs. 28,660d)Rs. 29,800Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 5 m and 8 m, respectively, and the slant height of the top is 1.4 m, find the cost of the canvas of the tent at the rate of Rs. 200 per m2. It is to be noted that the tent has no base.a)Rs. 23,100b)Rs. 25,600c)Rs. 28,660d)Rs. 29,800Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 5 m and 8 m, respectively, and the slant height of the top is 1.4 m, find the cost of the canvas of the tent at the rate of Rs. 200 per m2. It is to be noted that the tent has no base.a)Rs. 23,100b)Rs. 25,600c)Rs. 28,660d)Rs. 29,800Correct answer is option 'C'. Can you explain this answer?.
Solutions for A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 5 m and 8 m, respectively, and the slant height of the top is 1.4 m, find the cost of the canvas of the tent at the rate of Rs. 200 per m2. It is to be noted that the tent has no base.a)Rs. 23,100b)Rs. 25,600c)Rs. 28,660d)Rs. 29,800Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 5 m and 8 m, respectively, and the slant height of the top is 1.4 m, find the cost of the canvas of the tent at the rate of Rs. 200 per m2. It is to be noted that the tent has no base.a)Rs. 23,100b)Rs. 25,600c)Rs. 28,660d)Rs. 29,800Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 5 m and 8 m, respectively, and the slant height of the top is 1.4 m, find the cost of the canvas of the tent at the rate of Rs. 200 per m2. It is to be noted that the tent has no base.a)Rs. 23,100b)Rs. 25,600c)Rs. 28,660d)Rs. 29,800Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 5 m and 8 m, respectively, and the slant height of the top is 1.4 m, find the cost of the canvas of the tent at the rate of Rs. 200 per m2. It is to be noted that the tent has no base.a)Rs. 23,100b)Rs. 25,600c)Rs. 28,660d)Rs. 29,800Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 5 m and 8 m, respectively, and the slant height of the top is 1.4 m, find the cost of the canvas of the tent at the rate of Rs. 200 per m2. It is to be noted that the tent has no base.a)Rs. 23,100b)Rs. 25,600c)Rs. 28,660d)Rs. 29,800Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 5 m and 8 m, respectively, and the slant height of the top is 1.4 m, find the cost of the canvas of the tent at the rate of Rs. 200 per m2. It is to be noted that the tent has no base.a)Rs. 23,100b)Rs. 25,600c)Rs. 28,660d)Rs. 29,800Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup