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Q.

A conical vessel with vertex downward contains water to a depth of 5 cm. On adding 720 cm of water the level voice to 10cm. find the quantity of water which must be added is Outer that the level may rise to 15 cm.

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a

720 cm2

b

720 cm3

c

700 cm

d

720 cm 

answer is A.

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Detailed Solution

Vertex downward is 5 cm
Volume of the cone Is Question ImageTherefore, the volume of the given conical vessel Question ImageIt is given that when we add 720 cm are of we, the level rises to 10 cm.
Therefore, mathematically, we can write it as
Question ImageOn further simplification
Question ImageOn subtracting
Question ImageAccording both side by 5, we get
Question ImageOn subtracting the equating
Question Image …(1)
Hew me weed to find the quantity of water which must be added sucks that the level rises to 15 cm
Let the required volume of added water be V.
Therefore, mathematically, we can write the given condition as
Question ImageQuestion ImageQuestion ImageNow, we will substitute this value V = 5 × 144 = 720cm3

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