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What is the capacity of a cylindrical tank?
I. Radius of the base is half of its height which is 28 metres.
II. Area of the base is 616 sq. metres and its height is 28 metres.
I. Radius of the base is half of its height which is 28 metres.
II. Area of the base is 616 sq. metres and its height is 28 metres.
- a)I alone sufficient while II alone not sufficient to answer
- b)II alone sufficient while I alone not sufficient to answer
- c)Either I or II alone sufficient to answer
- d)Both I and II are not sufficient to answer
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
What is the capacity of a cylindrical tank?I. Radius of the base is ha...
From I, h = 28 m and r = 14.
∴ Capacity = π r2h, which can be obtained.
Thus, I alone gives the answer.
From II, π r2 = 616 m2 and h = 28 m
∴ Capacity = (π r2 × h) = (616 × 28) m3
Thus, II alone gives the answer.
∴ Correct answer is (c).
∴ Capacity = π r2h, which can be obtained.
Thus, I alone gives the answer.
From II, π r2 = 616 m2 and h = 28 m
∴ Capacity = (π r2 × h) = (616 × 28) m3
Thus, II alone gives the answer.
∴ Correct answer is (c).
Most Upvoted Answer
What is the capacity of a cylindrical tank?I. Radius of the base is ha...
To determine the capacity of a cylindrical tank, we need to know either the radius of the base and the height or the area of the base and the height. Let's analyze each statement given in the question.
Statement I:
The radius of the base is half of its height, which is 28 meters.
Statement II:
The area of the base is 616 square meters, and its height is 28 meters.
Now let's evaluate each statement separately:
Statement I alone:
If we know that the radius of the base is half of the height, we can calculate the radius and use it to find the capacity of the cylindrical tank. The formula to calculate the volume of a cylindrical tank is V = πr^2h, where V is the volume, r is the radius, and h is the height.
Using statement I, we can determine that the radius is 28/2 = 14 meters. However, we still need the height to calculate the volume. So statement I alone is not sufficient to answer the question.
Statement II alone:
If we know the area of the base and the height, we can determine the radius and use it to find the capacity of the cylindrical tank. The area of the base is given as 616 square meters, and the height is given as 28 meters.
The formula to calculate the area of the base of a cylindrical tank is A = πr^2, where A is the area and r is the radius. From statement II, we can calculate the radius as follows:
616 = πr^2
r^2 = 616/π
r = √(616/π)
However, we still need the radius to calculate the volume. So statement II alone is also not sufficient to answer the question.
Combining both statements:
If we combine both statements, we have the radius from statement I (14 meters) and the height from both statements (28 meters). With this information, we can calculate the volume of the cylindrical tank using the formula V = πr^2h.
Therefore, both statements together are sufficient to answer the question.
Hence, the correct answer is option C - Either I or II alone is sufficient to answer the question.
Statement I:
The radius of the base is half of its height, which is 28 meters.
Statement II:
The area of the base is 616 square meters, and its height is 28 meters.
Now let's evaluate each statement separately:
Statement I alone:
If we know that the radius of the base is half of the height, we can calculate the radius and use it to find the capacity of the cylindrical tank. The formula to calculate the volume of a cylindrical tank is V = πr^2h, where V is the volume, r is the radius, and h is the height.
Using statement I, we can determine that the radius is 28/2 = 14 meters. However, we still need the height to calculate the volume. So statement I alone is not sufficient to answer the question.
Statement II alone:
If we know the area of the base and the height, we can determine the radius and use it to find the capacity of the cylindrical tank. The area of the base is given as 616 square meters, and the height is given as 28 meters.
The formula to calculate the area of the base of a cylindrical tank is A = πr^2, where A is the area and r is the radius. From statement II, we can calculate the radius as follows:
616 = πr^2
r^2 = 616/π
r = √(616/π)
However, we still need the radius to calculate the volume. So statement II alone is also not sufficient to answer the question.
Combining both statements:
If we combine both statements, we have the radius from statement I (14 meters) and the height from both statements (28 meters). With this information, we can calculate the volume of the cylindrical tank using the formula V = πr^2h.
Therefore, both statements together are sufficient to answer the question.
Hence, the correct answer is option C - Either I or II alone is sufficient to answer the question.
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What is the capacity of a cylindrical tank?I. Radius of the base is half of its height which is 28 metres.II. Area of the base is 616 sq. metres and its height is 28 metres.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are not sufficient to answerCorrect answer is option 'C'. Can you explain this answer?
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What is the capacity of a cylindrical tank?I. Radius of the base is half of its height which is 28 metres.II. Area of the base is 616 sq. metres and its height is 28 metres.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are not sufficient to answerCorrect answer is option 'C'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about What is the capacity of a cylindrical tank?I. Radius of the base is half of its height which is 28 metres.II. Area of the base is 616 sq. metres and its height is 28 metres.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are not sufficient to answerCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the capacity of a cylindrical tank?I. Radius of the base is half of its height which is 28 metres.II. Area of the base is 616 sq. metres and its height is 28 metres.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are not sufficient to answerCorrect answer is option 'C'. Can you explain this answer?.
What is the capacity of a cylindrical tank?I. Radius of the base is half of its height which is 28 metres.II. Area of the base is 616 sq. metres and its height is 28 metres.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are not sufficient to answerCorrect answer is option 'C'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about What is the capacity of a cylindrical tank?I. Radius of the base is half of its height which is 28 metres.II. Area of the base is 616 sq. metres and its height is 28 metres.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are not sufficient to answerCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the capacity of a cylindrical tank?I. Radius of the base is half of its height which is 28 metres.II. Area of the base is 616 sq. metres and its height is 28 metres.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are not sufficient to answerCorrect answer is option 'C'. Can you explain this answer?.
Solutions for What is the capacity of a cylindrical tank?I. Radius of the base is half of its height which is 28 metres.II. Area of the base is 616 sq. metres and its height is 28 metres.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are not sufficient to answerCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 7.
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