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What is the volume of 32 metre high cylindrical tank?
I. The area of its base is 154 m2.
II. The diameter of the base is 14 m.
I. The area of its base is 154 m2.
II. The diameter of the base is 14 m.
- 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 volume of 32 metre high cylindrical tank?I. The area of it...
Given, height = 32 m
From I, the area of the base = 154 m2
∴ Volume = (Area of the base × Height)
= (154 × 32) m3
Thus, I alone gives the answer.
From II, the radius of the base = 7 m
∴ Volume = π r2h = (22/7 × 7 × 7 × 32) m3
= 4928 m3
Thus, II alone gives the answer.
∴ Correct answer is (c).
From I, the area of the base = 154 m2
∴ Volume = (Area of the base × Height)
= (154 × 32) m3
Thus, I alone gives the answer.
From II, the radius of the base = 7 m
∴ Volume = π r2h = (22/7 × 7 × 7 × 32) m3
= 4928 m3
Thus, II alone gives the answer.
∴ Correct answer is (c).
Most Upvoted Answer
What is the volume of 32 metre high cylindrical tank?I. The area of it...
Statement I: The area of the base is 154 m².
Statement II: The diameter of the base is 14 m.
To find the volume of a cylindrical tank, we need the height and either the radius or the diameter of the base. Let's evaluate each statement separately.
Statement I: The area of the base is 154 m².
From the given statement, we know the area of the base, but we don't have any information about the height or the diameter of the base. The area of the base alone is not sufficient to calculate the volume of the tank.
Statement II: The diameter of the base is 14 m.
From the given statement, we know the diameter of the base is 14 m. Using the formula for the diameter of a circle, we can calculate the radius by dividing the diameter by 2.
Radius (r) = Diameter (d) / 2
Radius (r) = 14 m / 2
Radius (r) = 7 m
Now that we have the radius, we can find the volume of the cylindrical tank using the formula:
Volume = π * (radius)² * height
However, we don't have any information about the height of the tank. Statement II alone is not sufficient to calculate the volume of the tank.
Both statements together:
Combining both statements, we have the information about the area of the base (Statement I) and the diameter of the base (Statement II). With this information, we can calculate the radius of the base and the height of the tank. Then, we can use these values to find the volume of the cylindrical tank.
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 II: The diameter of the base is 14 m.
To find the volume of a cylindrical tank, we need the height and either the radius or the diameter of the base. Let's evaluate each statement separately.
Statement I: The area of the base is 154 m².
From the given statement, we know the area of the base, but we don't have any information about the height or the diameter of the base. The area of the base alone is not sufficient to calculate the volume of the tank.
Statement II: The diameter of the base is 14 m.
From the given statement, we know the diameter of the base is 14 m. Using the formula for the diameter of a circle, we can calculate the radius by dividing the diameter by 2.
Radius (r) = Diameter (d) / 2
Radius (r) = 14 m / 2
Radius (r) = 7 m
Now that we have the radius, we can find the volume of the cylindrical tank using the formula:
Volume = π * (radius)² * height
However, we don't have any information about the height of the tank. Statement II alone is not sufficient to calculate the volume of the tank.
Both statements together:
Combining both statements, we have the information about the area of the base (Statement I) and the diameter of the base (Statement II). With this information, we can calculate the radius of the base and the height of the tank. Then, we can use these values to find the volume of the cylindrical tank.
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 volume of 32 metre high cylindrical tank?I. The area of its base is 154 m2.II. The diameter of the base is 14 m.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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