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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?
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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
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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'.
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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?
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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?.
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