Answer :


ABDC represents the frustum of the cone


Given:


Height GF = 42 cm.


Radius GB = 30 cm.


Radius FD = 10 cm.


In ΔABE & ΔCDE


AEB = CED (Common angle)


EDC = EBA (Corresponding angle)


So ΔABE & ΔCDE are similar by A.A. axiom of similarity


Since they are similar we can write





3EF = EF + 42


2EF = 42


EF = 21 cm


Height GE = 63 cm


Volume of Cone CDE =


Volume of Cone CDE = 2200 cm3


Volume of Cone ABE =


Volume of Cone ABE = 59400 cm3


Volume of Frustum of cone ABDC = Volume of Cone ABE- Volume of Cone CDE


Volume of Frustum of cone ABDC = 57200 cm3 = 57.2 liters


Rate of Milk per Liters = Rs. 40


Answer: Amount he will get from milk = Rs. 2288


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