Q. 315.0( 5 Votes )

# A bucket, is in t

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 cm^{3}

Volume of Cone ABE =

Volume of Cone ABE = 59400 cm^{3}

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

Volume of Frustum of cone ABDC = 57200 cm^{3} = 57.2 liters

Rate of Milk per Liters = Rs. 40

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

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