Class 10 Exam > Class 10 Questions > The radii of the top and bottom of a bucket o...
Start Learning for Free
The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm respectively. The curved surface area of the bucket is
- a)4955 cm2
- b)4952 cm2
- c)4951 cm2
- d)4950 cm2
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The radii of the top and bottom of a bucket of slant height 45 cm are ...
Given
l= 45cm
r1 =28cm
r2= 7cm
curved surface area of bucket is 22/7(r1+r2) 45
= 22/7(28cm + 7cm ) 45
=22/7+35*45= 4950cmsq
l= 45cm
r1 =28cm
r2= 7cm
curved surface area of bucket is 22/7(r1+r2) 45
= 22/7(28cm + 7cm ) 45
=22/7+35*45= 4950cmsq
Free Test
FREE
| Start Free Test |
Community Answer
The radii of the top and bottom of a bucket of slant height 45 cm are ...
To find the curved surface area of the bucket, we need to calculate the lateral surface area of the frustum of a cone.
1. Understanding the Problem:
- We have a bucket with a slant height of 45 cm.
- The radii of the top and bottom of the bucket are 28 cm and 7 cm respectively.
- We need to find the curved surface area of the bucket.
2. Formula for Lateral Surface Area of Frustum of a Cone:
The formula for the lateral surface area of a frustum of a cone is given by:
Lateral Surface Area = π(R + r) × l,
where R is the radius of the larger base, r is the radius of the smaller base, and l is the slant height.
3. Calculating the Lateral Surface Area:
In this case, R = 28 cm, r = 7 cm, and l = 45 cm.
Plugging these values into the formula, we get:
Lateral Surface Area = π(28 + 7) × 45
= π × 35 × 45
= 1575π cm²
4. Approximating the Value of π:
To get the approximate value, we can take π ≈ 22/7.
So, the Lateral Surface Area ≈ 1575 × 22/7
≈ 4950 cm²
5. Final Answer:
Therefore, the curved surface area of the bucket is approximately 4950 cm², which corresponds to option 'D'.
1. Understanding the Problem:
- We have a bucket with a slant height of 45 cm.
- The radii of the top and bottom of the bucket are 28 cm and 7 cm respectively.
- We need to find the curved surface area of the bucket.
2. Formula for Lateral Surface Area of Frustum of a Cone:
The formula for the lateral surface area of a frustum of a cone is given by:
Lateral Surface Area = π(R + r) × l,
where R is the radius of the larger base, r is the radius of the smaller base, and l is the slant height.
3. Calculating the Lateral Surface Area:
In this case, R = 28 cm, r = 7 cm, and l = 45 cm.
Plugging these values into the formula, we get:
Lateral Surface Area = π(28 + 7) × 45
= π × 35 × 45
= 1575π cm²
4. Approximating the Value of π:
To get the approximate value, we can take π ≈ 22/7.
So, the Lateral Surface Area ≈ 1575 × 22/7
≈ 4950 cm²
5. Final Answer:
Therefore, the curved surface area of the bucket is approximately 4950 cm², which corresponds to option 'D'.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Top Courses for Class 10View all
The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm respectively. The curved surface area of the bucket isa)4955 cm2b)4952 cm2c)4951 cm2d)4950 cm2Correct answer is option 'D'. Can you explain this answer?
Question Description
The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm respectively. The curved surface area of the bucket isa)4955 cm2b)4952 cm2c)4951 cm2d)4950 cm2Correct answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm respectively. The curved surface area of the bucket isa)4955 cm2b)4952 cm2c)4951 cm2d)4950 cm2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm respectively. The curved surface area of the bucket isa)4955 cm2b)4952 cm2c)4951 cm2d)4950 cm2Correct answer is option 'D'. Can you explain this answer?.
The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm respectively. The curved surface area of the bucket isa)4955 cm2b)4952 cm2c)4951 cm2d)4950 cm2Correct answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm respectively. The curved surface area of the bucket isa)4955 cm2b)4952 cm2c)4951 cm2d)4950 cm2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm respectively. The curved surface area of the bucket isa)4955 cm2b)4952 cm2c)4951 cm2d)4950 cm2Correct answer is option 'D'. Can you explain this answer?.
Solutions for The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm respectively. The curved surface area of the bucket isa)4955 cm2b)4952 cm2c)4951 cm2d)4950 cm2Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm respectively. The curved surface area of the bucket isa)4955 cm2b)4952 cm2c)4951 cm2d)4950 cm2Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm respectively. The curved surface area of the bucket isa)4955 cm2b)4952 cm2c)4951 cm2d)4950 cm2Correct answer is option 'D'. Can you explain this answer?, a detailed solution for The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm respectively. The curved surface area of the bucket isa)4955 cm2b)4952 cm2c)4951 cm2d)4950 cm2Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm respectively. The curved surface area of the bucket isa)4955 cm2b)4952 cm2c)4951 cm2d)4950 cm2Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm respectively. The curved surface area of the bucket isa)4955 cm2b)4952 cm2c)4951 cm2d)4950 cm2Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 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