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A rectangular plot is of length 28 m and width 14 m. A conical pit of diameter 7 m and depth 3 m with its flat surface upward and vertex downward is dug at one corner of the plot. The soil dug out is spread uniformly over the remaining area of the plot. The best approximation value of the increment in the level of the remaining plot is (take π = 22/7)
- a)10.5 cm
- b)10.9 cm
- c)9.9 cm
- d)9.5 cm
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A rectangular plot is of length 28 m and width 14 m. A conical pit of ...
Π ≈ 3.14)
The area of the rectangular plot is 28 x 14 = 392 square meters.
The volume of the conical pit is (1/3) x π x (7/2)^2 x 3 = 91.88 cubic meters.
The soil dug out from the pit will cover an area of π x (7/2)^2 = 38.47 square meters.
The remaining area of the plot is 392 - 38.47 = 353.53 square meters.
The volume of soil added to the remaining plot is 91.88 cubic meters.
To find the increment in the level of the remaining plot, we need to divide the volume of soil added by the area of the remaining plot: 91.88 / 353.53 ≈ 0.26 meters.
Therefore, the best approximation value of the increment in the level of the remaining plot is 0.26 meters.
The area of the rectangular plot is 28 x 14 = 392 square meters.
The volume of the conical pit is (1/3) x π x (7/2)^2 x 3 = 91.88 cubic meters.
The soil dug out from the pit will cover an area of π x (7/2)^2 = 38.47 square meters.
The remaining area of the plot is 392 - 38.47 = 353.53 square meters.
The volume of soil added to the remaining plot is 91.88 cubic meters.
To find the increment in the level of the remaining plot, we need to divide the volume of soil added by the area of the remaining plot: 91.88 / 353.53 ≈ 0.26 meters.
Therefore, the best approximation value of the increment in the level of the remaining plot is 0.26 meters.
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Community Answer
A rectangular plot is of length 28 m and width 14 m. A conical pit of ...
OP = r = 7/2
OQ = 3
area of top circular surface of pit =
= 38.5 m2
area of the plot on which dug soil is spreaded = 28 × 14 – 38.5 = 353.5 m2
volume of dug soil =
∴ value of increment in the level of remaining plot =
OQ = 3
area of top circular surface of pit =
= 38.5 m2
area of the plot on which dug soil is spreaded = 28 × 14 – 38.5 = 353.5 m2
volume of dug soil =
∴ value of increment in the level of remaining plot =
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A rectangular plot is of length 28 m and width 14 m. A conical pit of diameter 7 m and depth 3 m with its flat surface upward and vertex downward is dug at one corner of the plot. The soil dug out is spread uniformly over the remaining area of the plot. The best approximation value of the increment in the level of the remaining plot is(takeπ = 22/7)a)10.5 cmb)10.9 cmc)9.9 cmd)9.5 cmCorrect answer is option 'B'. Can you explain this answer?
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A rectangular plot is of length 28 m and width 14 m. A conical pit of diameter 7 m and depth 3 m with its flat surface upward and vertex downward is dug at one corner of the plot. The soil dug out is spread uniformly over the remaining area of the plot. The best approximation value of the increment in the level of the remaining plot is(takeπ = 22/7)a)10.5 cmb)10.9 cmc)9.9 cmd)9.5 cmCorrect answer is option 'B'. 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 A rectangular plot is of length 28 m and width 14 m. A conical pit of diameter 7 m and depth 3 m with its flat surface upward and vertex downward is dug at one corner of the plot. The soil dug out is spread uniformly over the remaining area of the plot. The best approximation value of the increment in the level of the remaining plot is(takeπ = 22/7)a)10.5 cmb)10.9 cmc)9.9 cmd)9.5 cmCorrect answer is option 'B'. 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 A rectangular plot is of length 28 m and width 14 m. A conical pit of diameter 7 m and depth 3 m with its flat surface upward and vertex downward is dug at one corner of the plot. The soil dug out is spread uniformly over the remaining area of the plot. The best approximation value of the increment in the level of the remaining plot is(takeπ = 22/7)a)10.5 cmb)10.9 cmc)9.9 cmd)9.5 cmCorrect answer is option 'B'. Can you explain this answer?.
A rectangular plot is of length 28 m and width 14 m. A conical pit of diameter 7 m and depth 3 m with its flat surface upward and vertex downward is dug at one corner of the plot. The soil dug out is spread uniformly over the remaining area of the plot. The best approximation value of the increment in the level of the remaining plot is(takeπ = 22/7)a)10.5 cmb)10.9 cmc)9.9 cmd)9.5 cmCorrect answer is option 'B'. 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 A rectangular plot is of length 28 m and width 14 m. A conical pit of diameter 7 m and depth 3 m with its flat surface upward and vertex downward is dug at one corner of the plot. The soil dug out is spread uniformly over the remaining area of the plot. The best approximation value of the increment in the level of the remaining plot is(takeπ = 22/7)a)10.5 cmb)10.9 cmc)9.9 cmd)9.5 cmCorrect answer is option 'B'. 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 A rectangular plot is of length 28 m and width 14 m. A conical pit of diameter 7 m and depth 3 m with its flat surface upward and vertex downward is dug at one corner of the plot. The soil dug out is spread uniformly over the remaining area of the plot. The best approximation value of the increment in the level of the remaining plot is(takeπ = 22/7)a)10.5 cmb)10.9 cmc)9.9 cmd)9.5 cmCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A rectangular plot is of length 28 m and width 14 m. A conical pit of diameter 7 m and depth 3 m with its flat surface upward and vertex downward is dug at one corner of the plot. The soil dug out is spread uniformly over the remaining area of the plot. The best approximation value of the increment in the level of the remaining plot is(takeπ = 22/7)a)10.5 cmb)10.9 cmc)9.9 cmd)9.5 cmCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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