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Directions: Below question is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.Find the curved surface area of cone.Statement I: The difference between the radius of cone and height of cone is 1 cm.Statement II: The volume of cone is 2940π cubic.cm1.If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.2.If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.3.If the data either in statement I alone or in statement II alone is sufficient to answer the question.4. If the data even in both the statements I and II together are not sufficient to answer the question.5.If the data in both statements I and II together are needed to answer the question.

Answer» Correct Answer - Option 5 :

If the data in both statements I and II together are needed to answer the question.


Let r = radius of cone, h = height of cone and l = slant height

Volume of cone = (πr2h)/3

Curved surface area of cone = πrl

From statement I

r - h = 1

From statement II

2940π = (πr2h)/3

8820 = r2h

Solving, we can get radius and height of cone. We can find the surface area of cone.

∴ the data in both statements I and II together are needed to answer the question.



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