Volume and Surface Area

Q1:

What is the capacity of a cylindrical tank?

I. Radius of the base is half of its height which is 28 metres.

II. Area of the base is 616 sq. metres and its height is 28 metres.

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

E Both I and II are necessary to answer

ANS:C - Either I or II alone sufficient to answer

I gives, h = 28 m and r = 14. Capacity = r²h, which can be obtained. Thus, I alone gives the answer. II gives, r² = 616 m² and h = 28 m. Capacity = (r² x h) = (616 x 28) m³. Thus, II alone gives the answer. Correct answer is (C).

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