Question

The bottom of a right cylindrical shaped vessel made from metallic sheet is closed by the cone shaped vessel as shown in the figure. The radius of the circular base of cylinder and radius of circular base of cone are each equal to 7cm.if the height of the cylinder is 20cm And height of cone is 3cm calculate the cost of the milk to fill completely this vessel at rate of 20rs per litre

Answer 1

Answer:

Rs 58.52

Step-by-step explanation:

Volume of container = Volume of Cylinder - Volume of cone

cone is immersed in cylinder (as bottom can be closed bu inserting cone otherwise base with a cone pointing out side would be useless)

Volume of cylinder = π r² h

r = 7 cm  h = 20 cm  π  = 22/7

Volume of cylinder  = (22/7) (7)² (20) = 3080 cm³

Volume of cone = (1/3)π r² h

r = 7 cm  h = 3 cm  π  = 22/7

Volume of cone = (1/3)(22/7) (7)² (3) = 154 cm³

Volume of container = 3080 - 154 = 2926 cm³

1 litre = 1000 cm³

Capacity of container = 2926/1000 = 2.926 Litr

Cost Per Litre = Rs 20  

Total Cost = 20 * 2.926 = Rs 58.52

cost of milk to fill completely this vessel  = Rs 58.52