A right circular cylindrical tank of radius r cm and height (r + 12) cm contains milk. The entire quantity of milk is taken out from the cylindrical t...

Question

A right circular cylindrical tank of radius r cm and height (r + 12) cm contains milk. The entire quantity of milk is taken out from the cylindrical tank and poured into N number of hemispherical bowls such that each bowl is filled up to its maximum capacity. If the maximum capacity of each bowl is

11r335 cm3\frac{11r^3}{35} \text{ cm}^3
, which among the following (I, II, III & IV) is/are the possible value(s) of N? (r and N are positive integers)

I. 6
II. 34
III. 25
IV. 19

Options

A.

Both I & II

B.

Both III & IV

C.

Both I & III

D.

Both II & III

E.

None of these

cylindrical tankhemispherical bowlvolumeinteger valuesalgebraic equation

Solve This Question

Get instant feedback with detailed step-by-step solution

Start Solving →