Aptitude - Volume and Surface Area - Discussion

Discussion Forum : Volume and Surface Area - Data Sufficiency 1 (Q.No. 4)
Directions to Solve

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.

4.

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 alone sufficient while II alone not sufficient to answer
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: Option
Explanation:

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).

Discussion:
8 comments Page 1 of 1.

ABI said:   4 years ago
From II we will get the radius.
But the I gives no help.

Though we get radius we are not getting either height or slant height. Even the breadth of a rectangle is unknown.

Also, no information about CSA or TSA of the cone is given.

Therefore, the answer is correct i.e option D.

Nehu said:   7 years ago
Why not E?

Goku said:   7 years ago
Here in the 1st option, we can calculate the slant height irrespective of whether it is curved or total surface area as we have a radius.

Ramesh said:   7 years ago
Can anybody explain how II gives the value of 'r'?

Amiya said:   9 years ago
By area of cone do we mean total surface area or curved surface area?

Asad said:   9 years ago
Rectangle can be shaped into so we have hypotenuse and base through base and height can be found out.

Bharath said:   9 years ago
Area of the base of that cone = r^2.

Karthik said:   1 decade ago
How the II will give the value of r?

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