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What is the height of a circular cone?
I. The area of that cone is equal to the area of a rectangle whose length is 33 cm.
II. The area of the base of that cone is 154 sq. cm.
I. The area of that cone is equal to the area of a rectangle whose length is 33 cm.
II. The area of the base of that cone is 154 sq. cm.
- 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 'D'. Can you explain this answer?
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Verified Answer
What is the height of a circular cone?I. The area of that cone is equa...
II gives the value of r.
But, in I, the breadth of rectangle is not given.
So, we cannot find the surface area of the cone.
Hence, the height of the cone cannot be determined.
∴ Correct answer is (d).
But, in I, the breadth of rectangle is not given.
So, we cannot find the surface area of the cone.
Hence, the height of the cone cannot be determined.
∴ Correct answer is (d).
Most Upvoted Answer
What is the height of a circular cone?I. The area of that cone is equa...
Statement I: The area of the cone is equal to the area of a rectangle whose length is 33 cm.
Statement II: The area of the base of the cone is 154 sq. cm.
To find the height of a circular cone, we need to have information about either the slant height or the radius of the cone. However, neither Statement I nor Statement II provides any information about the slant height or the radius of the cone. Therefore, both statements alone are not sufficient to answer the question.
Explanation:
We can break down the problem into two parts to understand why both statements are not sufficient individually.
Part 1: Statement I - The area of the cone is equal to the area of a rectangle whose length is 33 cm.
The area of a cone is given by the formula A = πr(r + l), where A is the area, r is the radius, and l is the slant height of the cone. In this statement, we are given that the area of the cone is equal to the area of a rectangle whose length is 33 cm.
However, without any information about the slant height or the radius, we cannot determine the height of the cone. Thus, Statement I alone is not sufficient to answer the question.
Part 2: Statement II - The area of the base of the cone is 154 sq. cm.
The area of the base of a cone is given by the formula A = πr², where A is the area and r is the radius of the base. In this statement, we are given that the area of the base of the cone is 154 sq. cm.
Again, without any information about the slant height or the radius, we cannot determine the height of the cone. Thus, Statement II alone is not sufficient to answer the question.
Conclusion:
Since neither Statement I nor Statement II alone is sufficient to answer the question, the correct answer is option 'D' - Both I and II are not sufficient to answer. To find the height of the cone, we need additional information about either the slant height or the radius.
Statement II: The area of the base of the cone is 154 sq. cm.
To find the height of a circular cone, we need to have information about either the slant height or the radius of the cone. However, neither Statement I nor Statement II provides any information about the slant height or the radius of the cone. Therefore, both statements alone are not sufficient to answer the question.
Explanation:
We can break down the problem into two parts to understand why both statements are not sufficient individually.
Part 1: Statement I - The area of the cone is equal to the area of a rectangle whose length is 33 cm.
The area of a cone is given by the formula A = πr(r + l), where A is the area, r is the radius, and l is the slant height of the cone. In this statement, we are given that the area of the cone is equal to the area of a rectangle whose length is 33 cm.
However, without any information about the slant height or the radius, we cannot determine the height of the cone. Thus, Statement I alone is not sufficient to answer the question.
Part 2: Statement II - The area of the base of the cone is 154 sq. cm.
The area of the base of a cone is given by the formula A = πr², where A is the area and r is the radius of the base. In this statement, we are given that the area of the base of the cone is 154 sq. cm.
Again, without any information about the slant height or the radius, we cannot determine the height of the cone. Thus, Statement II alone is not sufficient to answer the question.
Conclusion:
Since neither Statement I nor Statement II alone is sufficient to answer the question, the correct answer is option 'D' - Both I and II are not sufficient to answer. To find the height of the cone, we need additional information about either the slant height or the radius.
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What is the height of a circular cone?I. The area of that cone is equal to the area of a rectangle whose length is 33 cm.II. The area of the base of that cone is 154 sq. cm.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 'D'. Can you explain this answer?
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What is the height of a circular cone?I. The area of that cone is equal to the area of a rectangle whose length is 33 cm.II. The area of the base of that cone is 154 sq. cm.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 'D'. 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 height of a circular cone?I. The area of that cone is equal to the area of a rectangle whose length is 33 cm.II. The area of the base of that cone is 154 sq. cm.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 'D'. 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 height of a circular cone?I. The area of that cone is equal to the area of a rectangle whose length is 33 cm.II. The area of the base of that cone is 154 sq. cm.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 'D'. Can you explain this answer?.
What is the height of a circular cone?I. The area of that cone is equal to the area of a rectangle whose length is 33 cm.II. The area of the base of that cone is 154 sq. cm.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 'D'. 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 height of a circular cone?I. The area of that cone is equal to the area of a rectangle whose length is 33 cm.II. The area of the base of that cone is 154 sq. cm.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 'D'. 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 height of a circular cone?I. The area of that cone is equal to the area of a rectangle whose length is 33 cm.II. The area of the base of that cone is 154 sq. cm.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 'D'. Can you explain this answer?.
Solutions for What is the height of a circular cone?I. The area of that cone is equal to the area of a rectangle whose length is 33 cm.II. The area of the base of that cone is 154 sq. cm.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 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 7.
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