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A tent is in the shape of a right circular cylinder up to a height of 3 m and then becomes a right circular cone with a maximum height of 13.5 m above the ground. Calculate the cost of painting the inner side of the tent at the rate of ₹ 2 per m2, if the radius of the base is 14 m.
- a)₹ 2068
- b)₹ 2156
- c)₹ 2248
- d)₹ 1872
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A tent is in the shape of a right circular cylinder up to a height of ...
Radius of cylinder = Radius of cone = 14 m.
Height of cylinder = 3 m
Height of cone = 10.5 m
Slant height of cone
= 
Total curved surface area of tent = Curved surface area of cylinder + Curved surface area of cone
= π(2x14x3 + 14x17.5)
= 
Cost of painting the inner surface at the rate of ₹ 2 per m2 = 2 x 1034 =₹ 2068
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A tent is in the shape of a right circular cylinder up to a height of ...
Given information:
- The tent is in the shape of a right circular cylinder up to a height of 3 m.
- After 3 m, it becomes a right circular cone with a maximum height of 13.5 m above the ground.
- The radius of the base is 14 m.
To find:
The cost of painting the inner side of the tent at the rate of 2 per m2.
Let's break down the problem into two parts:
1. Paint the inner side of the cylinder.
2. Paint the inner side of the cone.
Painting the inner side of the cylinder:
- The height of the cylinder is 3 m.
- The radius of the cylinder is 14 m.
The formula to calculate the curved surface area of a cylinder is given by:
CSA = 2πrh
Where:
CSA = Curved surface area
π = pi (approximately 3.14)
r = radius of the cylinder
h = height of the cylinder
Plugging in the values, we get:
CSA of the cylinder = 2 * 3.14 * 14 * 3
CSA of the cylinder = 263.76 m2
Painting the inner side of the cone:
- The height of the cone is 13.5 m.
- The radius of the cone is also 14 m.
The formula to calculate the curved surface area of a cone is given by:
CSA = πrl
Where:
CSA = Curved surface area
π = pi (approximately 3.14)
r = radius of the cone
l = slant height of the cone
To find the slant height (l) of the cone, we can use the Pythagorean theorem:
l2 = r2 + h2
Plugging in the values, we get:
l2 = 142 + 13.52
l2 = 196 + 182.25
l2 = 378.25
l ≈ 19.45 m
Plugging in the values of r and l, we can calculate the CSA of the cone:
CSA of the cone = 3.14 * 14 * 19.45
CSA of the cone ≈ 867.26 m2
Total cost of painting the inner side of the tent:
Total cost = Cost of painting the cylinder + Cost of painting the cone
Total cost = 263.76 + 867.26
Total cost ≈ 1130.02
Since the cost is given in multiples of 2, we round up the total cost to the nearest multiple of 2:
Total cost ≈ 1130 (rounded to the nearest multiple of 2)
Therefore, the cost of painting the inner side of the tent is 1130. The given answer options are not correct.
- The tent is in the shape of a right circular cylinder up to a height of 3 m.
- After 3 m, it becomes a right circular cone with a maximum height of 13.5 m above the ground.
- The radius of the base is 14 m.
To find:
The cost of painting the inner side of the tent at the rate of 2 per m2.
Let's break down the problem into two parts:
1. Paint the inner side of the cylinder.
2. Paint the inner side of the cone.
Painting the inner side of the cylinder:
- The height of the cylinder is 3 m.
- The radius of the cylinder is 14 m.
The formula to calculate the curved surface area of a cylinder is given by:
CSA = 2πrh
Where:
CSA = Curved surface area
π = pi (approximately 3.14)
r = radius of the cylinder
h = height of the cylinder
Plugging in the values, we get:
CSA of the cylinder = 2 * 3.14 * 14 * 3
CSA of the cylinder = 263.76 m2
Painting the inner side of the cone:
- The height of the cone is 13.5 m.
- The radius of the cone is also 14 m.
The formula to calculate the curved surface area of a cone is given by:
CSA = πrl
Where:
CSA = Curved surface area
π = pi (approximately 3.14)
r = radius of the cone
l = slant height of the cone
To find the slant height (l) of the cone, we can use the Pythagorean theorem:
l2 = r2 + h2
Plugging in the values, we get:
l2 = 142 + 13.52
l2 = 196 + 182.25
l2 = 378.25
l ≈ 19.45 m
Plugging in the values of r and l, we can calculate the CSA of the cone:
CSA of the cone = 3.14 * 14 * 19.45
CSA of the cone ≈ 867.26 m2
Total cost of painting the inner side of the tent:
Total cost = Cost of painting the cylinder + Cost of painting the cone
Total cost = 263.76 + 867.26
Total cost ≈ 1130.02
Since the cost is given in multiples of 2, we round up the total cost to the nearest multiple of 2:
Total cost ≈ 1130 (rounded to the nearest multiple of 2)
Therefore, the cost of painting the inner side of the tent is 1130. The given answer options are not correct.
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Question Description
A tent is in the shape of a right circular cylinder up to a height of 3 m and then becomes a right circular cone with a maximum height of 13.5 m above the ground. Calculate the cost of painting the inner side of the tent at the rate of 2 per m2, if the radius of the base is 14 m.a) 2068b) 2156c) 2248d) 1872Correct answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A tent is in the shape of a right circular cylinder up to a height of 3 m and then becomes a right circular cone with a maximum height of 13.5 m above the ground. Calculate the cost of painting the inner side of the tent at the rate of 2 per m2, if the radius of the base is 14 m.a) 2068b) 2156c) 2248d) 1872Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tent is in the shape of a right circular cylinder up to a height of 3 m and then becomes a right circular cone with a maximum height of 13.5 m above the ground. Calculate the cost of painting the inner side of the tent at the rate of 2 per m2, if the radius of the base is 14 m.a) 2068b) 2156c) 2248d) 1872Correct answer is option 'A'. Can you explain this answer?.
A tent is in the shape of a right circular cylinder up to a height of 3 m and then becomes a right circular cone with a maximum height of 13.5 m above the ground. Calculate the cost of painting the inner side of the tent at the rate of 2 per m2, if the radius of the base is 14 m.a) 2068b) 2156c) 2248d) 1872Correct answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A tent is in the shape of a right circular cylinder up to a height of 3 m and then becomes a right circular cone with a maximum height of 13.5 m above the ground. Calculate the cost of painting the inner side of the tent at the rate of 2 per m2, if the radius of the base is 14 m.a) 2068b) 2156c) 2248d) 1872Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tent is in the shape of a right circular cylinder up to a height of 3 m and then becomes a right circular cone with a maximum height of 13.5 m above the ground. Calculate the cost of painting the inner side of the tent at the rate of 2 per m2, if the radius of the base is 14 m.a) 2068b) 2156c) 2248d) 1872Correct answer is option 'A'. Can you explain this answer?.
Solutions for A tent is in the shape of a right circular cylinder up to a height of 3 m and then becomes a right circular cone with a maximum height of 13.5 m above the ground. Calculate the cost of painting the inner side of the tent at the rate of 2 per m2, if the radius of the base is 14 m.a) 2068b) 2156c) 2248d) 1872Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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