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Directions: The following question is accompanied by two statements (I) and (II). You have to determine which statements(s) is/are sufficient/necessary to answer the questions.Find the height of cylinder.I) A rectangular piece of paper of breadth 22 cm is rolled along breadth to form a cylinder. If the curved surface area of a cylinder is 264 cm2. II) The volume of cylinder is 462 cm3.1. The statement I alone is sufficient to answer the question, but the statement II alone is not sufficient. 2. The statement II alone is sufficient to answer the question, but the statement I alone is not sufficient. 3. Both the statements I and II together are needed to answer the question.4. Either statement I alone or statement II alone is sufficient to answer the question. 5. Neither statement I nor statement II is sufficient to answer the question.

Answer» Correct Answer - Option 1 : The statement I alone is sufficient to answer the question, but the statement II alone is not sufficient. 

Formula used:

The curved surface area of a cylinder = 2πrh

Volume of cylinder = πr2h

Statement (I):

The curved surface area of a cylinder = 264 cm2

A rectangular piece of paper of breadth 22 cm is rolled along breadth to form a cylinder.

The rectangular side which is rolled to form a cylinder will become its Height.

So, Height of Cylinder = 22 cm

∴ The statement I alone is sufficient to answer the question

Statement (II):

Volume of cylinder = πr2h

The volume of cylinder = 462 cm3.

⇒ πr2h = 462 cm3

∴ Statement II alone is not sufficient. 

∴ The statement I alone is sufficient to answer the question, but the statement II alone is not sufficient. 



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